Relevant bibliographies by topics / Toeplitz operator

Academic literature on the topic 'Toeplitz operator'

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Published: 4 June 2021
Last updated: 31 January 2023

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Journal articles on the topic "Toeplitz operator"

1

Lee, Jongrak. "Normal Toeplitz Operators on the Fock Spaces." Symmetry 12, no. 10 (September 29, 2020): 1615. http://dx.doi.org/10.3390/sym12101615.

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We characterize normal Toeplitz operator on the Fock spaces F2(C). First, we state basic properties for Toeplitz operator Tφ on F2(C). Next, we study the normal Toeplitz operator Tφ on F2(C) in terms of harmonic symbols φ. Finally, we characterize the normal Toeplitz operators Tφ with non-harmonic symbols acting on F2(C).
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Xia, Jin, Xiaofeng Wang, and Guangfu Cao. "Toeplitz Operators on Dirichlet-Type Space of Unit Ball." Abstract and Applied Analysis 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/927513.

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We construct a functionuinL2Bn, dVwhich is unbounded on any neighborhood of each boundary point ofBnsuch that Toeplitz operatorTuis a Schattenp-class0<p<∞operator on Dirichlet-type spaceDBn, dV. Then, we discuss some algebraic properties of Toeplitz operators with radial symbols on the Dirichlet-type spaceDBn, dV. We determine when the product of two Toeplitz operators with radial symbols is a Toeplitz operator. We investigate the zero-product problem for several Toeplitz operators with radial symbols. Furthermore, the corresponding commuting problem of Toeplitz operators whose symbols are of the formξkuis studied, wherek ∈ Zn,ξ ∈ ∂Bn, anduis a radial function.
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Kim, Sumin, and Jongrak Lee. "Normal Toeplitz Operators on the Bergman Space." Mathematics 8, no. 9 (September 1, 2020): 1463. http://dx.doi.org/10.3390/math8091463.

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In this paper, we give a characterization of normality of Toeplitz operator Tφ on the Bergman space A2(D). First, we state basic properties for Toeplitz operator Tφ on A2(D). Next, we consider the normal Toeplitz operator Tφ on A2(D) in terms of harmonic symbols φ. Finally, we characterize the normal Toeplitz operators Tφ with non-harmonic symbols acting on A2(D).
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Guan, Hongyan, Liu Liu, and Yufeng Lu. "Algebraic Properties of Quasihomogeneous and Separately Quasihomogeneous Toeplitz Operators on the Pluriharmonic Bergman Space." Abstract and Applied Analysis 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/252037.

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We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball inℂn. We determine when the product of two Toeplitz operators with certain separately quasi-homogeneous symbols is a Toeplitz operator. Next, we discuss the zero-product problem for several Toeplitz operators, one of whose symbols is separately quasihomogeneous and the others are quasi-homogeneous functions, and show that the zero-product problem for two Toeplitz operators has only a trivial solution if one of the symbols is separately quasihomogeneous and the other is arbitrary. Finally, we also characterize the commutativity of certain quasihomogeneous or separately quasihomogeneous Toeplitz operators.
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Liu, Lanzhe. "Weighted boundedness for Toeplitz type operator associated to general integral operators." Asian-European Journal of Mathematics 07, no. 02 (June 2014): 1450026. http://dx.doi.org/10.1142/s1793557114500260.

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In this paper, we establish the weighted sharp maximal function estimates for the Toeplitz type operators associated to some integral operators and the weighted Lipschitz and BMO functions. As an application, we obtain the boundedness of the Toeplitz type operators on weighted Lebesgue and Morrey spaces. The operator includes Littlewood–Paley operator, Marcinkiewicz operator and Bochner–Riesz operator.
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Jurasik, Joanna, and Bartosz Łanucha. "Asymmetric truncated Toeplitz operators equal to the zero operator." Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica 70, no. 2 (December 24, 2016): 51. http://dx.doi.org/10.17951/a.2016.70.2.51.

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Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators. In this paper we describe symbols of asymmetric truncated Toeplitz operators equal to the zero operator.
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DING, XUANHAO. "THE FINITE SUM OF THE PRODUCTS OF TWO TOEPLITZ OPERATORS." Journal of the Australian Mathematical Society 86, no. 1 (February 2009): 45–60. http://dx.doi.org/10.1017/s1446788708000128.

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AbstractWe consider in this paper the question of when the finite sum of products of two Toeplitz operators is a finite-rank perturbation of a single Toeplitz operator on the Hardy space over the unit disk. A necessary condition is found. As a consequence we obtain a necessary and sufficient condition for the product of three Toeplitz operators to be a finite-rank perturbation of a single Toeplitz operator.
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Chen, Dazhao, and Hui Huang. "Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators." Open Mathematics 19, no. 1 (January 1, 2021): 1554–66. http://dx.doi.org/10.1515/math-2021-0122.

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Abstract In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel. As an application, we obtain the boundedness of the Toeplitz-type operators on the Lebesgue, Morrey and Triebel-Lizorkin spaces. The operators include the Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.
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Pandey, Shesh Kumar, and Gopal Datt. "Multivariate version of slant Toeplitz operators on the Lebesgue space." Asian-European Journal of Mathematics 14, no. 09 (January 20, 2021): 2150152. http://dx.doi.org/10.1142/s1793557121501527.

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The paper introduces the [Formula: see text]th-order slant Toeplitz operator on the Lebesgue space of [Formula: see text]-torus, where [Formula: see text] such that [Formula: see text] for all [Formula: see text]. It investigates certain properties of [Formula: see text]th-order slant Toeplitz operators on the Lebesgue space [Formula: see text]. The paper deals with a system of operator equations, characterizing the [Formula: see text]th-order slant Toeplitz operators. At the end, we discuss certain spectral properties of the considered operator.
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Agbor, Dieudonne. "Algebraic Properties of Toeplitz Operators on the Pluri-harmonic Fock Space." Journal of Mathematics Research 9, no. 6 (October 26, 2017): 67. http://dx.doi.org/10.5539/jmr.v9n6p67.

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We study some algebraic properties of Toeplitz operators with radial and quasi homogeneous symbols on the pluriharmonic Fock space over $\mathbb{C}^{n}$. We determine when the product of two Toeplitz operators with radial symbols is a Toeplitz operator, the zero-product problem for the product of two Toeplitz operators. Next we characterize the commutativity of Toeplitz operators with quasi homogeneous symbols and finally we study finite rank of the product of Toeplitz operators with quasi homogeneous symbols.
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Dissertations / Theses on the topic "Toeplitz operator"

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Fedchenko, Dmitry, and Nikolai Tarkhanov. "A Class of Toeplitz Operators in Several Variables." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6893/.

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We introduce the concept of Toeplitz operator associated with the Laplace-Beltrami operator on a compact Riemannian manifold with boundary. We characterise those Toeplitz operators which are Fredholm, thus initiating the index theory.
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Browning, Brian L. "Time and frequency domain scattering for the one-dimensional wave equation /." Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5788.

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Seidel, Markus Silbermann Bernd. "Über die Splitting-Eigenschaft der Approximationszahlen von Matrix-Folgen : l1-Theorie$nElektronische Ressource /." [S.l. : s.n.], 2006.

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Vasilyev, Vladimir. "Invertibility of a Class of Toeplitz Operators over the Half Plane." Doctoral thesis, Universitätsbibliothek Chemnitz, 2007. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200700157.

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This dissertation is concerned with invertibility and one-sided invertibility of Toeplitz operators over the half plane whose generating functions admit homogenous discontinuities, and with stability of their pseudo finite sections. The invertibility criterium is given in terms of invertibility of a family of one dimensional Toeplitz operators with piecewise continuous generating functions. The one-sided invertibility criterium is given it terms of constraints on the partial indices of certain Toeplitz operator valued function.
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Vasil'ev, Vladimir A. Silbermann Bernd. "Second-order trace formulas in Szegö-type theorems." [S.l. : s.n.], 2007.

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Vasil'ev, Vladimir A. "Invertibility of a class of Toeplitz operators over the half plane." [S.l. : s.n.], 2007.

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Ehrhardt, Torsten. "Factorization theory for Toeplitz plus Hankel operators and singular integral operators with flip." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972573305.

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Arroussi, Hicham. "Function and Operator Theory on Large Bergman spaces." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/395175.

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The theory of Bergman spaces has been a central subject of study in complex analysis during the past decades. The book [7] by S. Bergman contains the first systematic treat-ment of the Hilbert space of square integrable analytic functions with respect to Lebesgue area measure on a domain. His approach was based on a reproducing kernel that became known as the Bergman kernel function. When attention was later directed to the spaces AP over the unit disk, it was natural to call them Bergman spaces. As counterparts of Hardy spaces, they presented analogous problems. However, although many problems in Hardy spaces were well understood by the 1970s, their counterparts for Bergman spaces were generally viewed as intractable, and only some isolated progress was done. The 1980s saw the emerging of operator theoretic studies related to Bergman spaces with important contributions by several authors. Their achievements on Bergman spaces with standard weights are presented in Zhu's book [77]. The main breakthroughs came in the 1990s, where in a flurry of important advances, problems previously considered intractable began to be solved. First came Hedenmalm's construction of canonical divisors [26], then Seip's description [59] of sampling and interpolating sequences on Bergman spaces, and later on, the study of Aleman, Richter and Sundberg [1] on the invariant subspaces of A2, among others. This attracted other workers to the field and inspired a period of intense research on Bergman spaces and related topics. Nowadays there are rich theories on Bergman spaces that can be found on the textbooks [27] and [22]. Meanwhile, also in the nineties, some isolated problems on Bergman spaces with ex-ponential type weights began to be studied. These spaces are large in the sense that they contain all the Bergman spaces with standard weights, and their study presented new dif-ficulties, as the techniques and ideas that led to success when working on the analogous problems for standard Bergman spaces, failed to work on that context. It is the main goal of this work to do a deep study of the function theoretic properties of such spaces, as well as of some operators acting on them. It turns out that large Bergman spaces are close in spirit to Fock spaces [79], and many times mixing classical techniques from both Bergman and Fock spaces in an appropriate way, can led to some success when studying large Bergman spaces.
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Böttcher, A., and S. M. Grudsky. "Estimates for the condition numbers of large semi-definite Toeplitz matrices." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801238.

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This paper is devoted to asymptotic estimates for the condition numbers $\kappa(T_n(a))=||T_n(a)|| ||T_n^(-1)(a)||$ of large $n\cross n$ Toeplitz matrices $T_N(a)$ in the case where $\alpha \element L^\infinity$ and $Re \alpha \ge 0$ . We describe several classes of symbols $\alpha$ for which $\kappa(T_n(a))$ increases like $(log n)^\alpha, n^\alpha$ , or even $e^(\alpha n)$ . The consequences of the results for singular values, eigenvalues, and the finite section method are discussed. We also consider Wiener-Hopf integral operators and multidimensional Toeplitz operators.
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Barusseau, Benoit. "Propriétés spectrales des opérateurs de Toeplitz." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14027/document.

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La première partie de la thèse réunit des résultats classiques sur l’espace de Hardy, les espaces modèles et l’espace de Bergman. Puis sur cette base, nous exposons des travaux relatifs aux opérateurs de Toeplitz, en particulier, nous présentons la description du spectre et du spectre essentiel de ces opérateurs sur l’espace de Hardy et de Bergman. La première partie de notre recherche tire son inspiration de deux faits établis pour un opérateur de Toeplitz T. Premièrement, sur l’espace de Hardy, la norme de T, la norme essentielle de T et la norme infinie du symbole de T sont égales. Nous étudions ce cas d’égalité sur l’espace de Bergman pour les opérateurs de Toeplitz à symbole quasihomogène et radial. Deuxièmement, sur l’espace de hardy, le spectre et le spectre essentiel sont fortement liés à l’image du symbole de T. Nous étudions le cas d’égalité entre le spectre et l’image essentielle du symbole pour les symboles quasihomogènes et radials. Pour répondre à ces deux questions, nous utilisons la transformée de Berezin, les coefficients de Mellin et la moyenne du symbole. La dernière partie de la thèse s’interesse au théorème de Szegö qui donne un lien entre les valeurs propres d’une suite de matrices de Toeplitz de taille n, et le symbole de cette suite de matrice. Nous donnons un résultat du même type sur l’espace de Bergman pour les symboles harmoniques sur le disque et continus sur le cercle. Enfin, nous étudions une généralisation de ce théorème en compressant l’opérateur de Toeplitz sur une suite d’espaces modèles de dimension finie
This thesis deals with the spectral properties of the Toeplitz operators in relation to their associated symbol. In the first part, we give some classical results about Hardy space, model spaces and Bergman space. Afterwards, we expose some results about Toeplitz operator on the Hardy space. In particular, we discuss their spectrum and essential spectrum. Our work is inspired from two facts which have been proved on the Hardy space. First, considering a Toeplitz operator T, the norm, essential norm, spectral radius of T and the supremum of its symbol are equal. Secondly, on the Hardy space, spectrum, essential spectrum and essential range are strongly related. We answer the question of the equality between the norms, the spectral radius and the supremum of the symbol and between spectrum and essential range on the Bergman space. We look at these two properties on the Bergman space when the symbol is radial or quasihomogeneous. We answer these questions using the Berezin transform, the Mellin coefficients and the mean value of the symbol. The last part deals with the classical Szegö theorem which underline a link between the eigenvalues of a Toeplitz matrix sequence and its symbol. We give a result of the same type on Bergman space considering harmonic symbol wich have a continuous extension. We give a generalization, considering the sequence of the compressions of a Toeplitz operator on a sequence of model spaces
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Books on the topic "Toeplitz operator"

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1941-, Silbermann Bernd, ed. Analysis of Toeplitz operators. Berlin: Akademie-Verlag Berlin, 1989.

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Böttcher, Albrecht. Analysis of Toeplitz operators. Berlin: Springer-Verlag, 1990.

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Bauer, Wolfram, Roland Duduchava, Sergei Grudsky, and Marinus A. Kaashoek, eds. Operator Algebras, Toeplitz Operators and Related Topics. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2.

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1949-, Karlovich Yuri I., ed. Carleson curves, Muckenhoupt weights, and Toeplitz operators. Basel: Birkhäuser Verlag, 1997.

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Garoni, Carlo. Generalized Locally Toeplitz Sequences: Theory and Applications: Volume I. Cham: Springer International Publishing, 2017.

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The bilateral Bergman shift. Providence, R.I., USA: American Mathematical Society, 1986.

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1928-2009, Gohberg I. (Israel), Grudsky Sergei M. 1955-, Rabinovich Vladimir 1940-, and SpringerLink (Online service), eds. Recent Trends in Toeplitz and Pseudodifferential Operators: The Nikolai Vasilevskii Anniversary Volume. Basel: Birkhäuser Basel, 2010.

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Operator theory in function spaces. New York: M. Dekker, 1990.

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Böttcher, Albrecht, and Bernd Silbermann. Analysis of Toeplitz Operators. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-662-02652-6.

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Bini, Dario A., Torsten Ehrhardt, Alexei Yu Karlovich, and Ilya Spitkovsky, eds. Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49182-0.

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Book chapters on the topic "Toeplitz operator"

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Coburn, L. A. "Berezin-Toeplitz Quantization." In Algebraic Methods in Operator Theory, 101–8. Boston, MA: Birkhäuser Boston, 1994. http://dx.doi.org/10.1007/978-1-4612-0255-4_12.

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Bercovici, H., C. Foias, and A. Tannenbaum. "On Skew Toeplitz Operators, II." In Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics, 23–35. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8779-3_2.

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Sontz, Stephen Bruce. "Toeplitz Quantization of a Free ∗-Algebra." In Operator Algebras, Toeplitz Operators and Related Topics, 439–49. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_25.

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Upmeier, Harald. "Toeplitz Operators and Toeplitz C∗-Algebras in Several Complex Variables." In Handbook of Analytic Operator Theory, 139–70. Boca Raton : CRC Press, Taylor & Francis Group, 2019.: Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9781351045551-5.

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Loaiza, Maribel, Carmen Lozano, and Jesús Macías-Durán. "Toeplitz Algebras on the Harmonic Fock Space." In Operator Algebras, Toeplitz Operators and Related Topics, 255–76. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_17.

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Koltracht, I., and P. Lancaster. "Condition Numbers of Toeplitz and Block Toeplitz Matrices." In I. Schur Methods in Operator Theory and Signal Processing, 271–300. Basel: Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-5483-2_11.

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Upmeier, Harald. "Multivariable Toeplitz Operators and Index Theory." In Mappings of Operator Algebras, 275–88. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0453-4_16.

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Karapetyants, Alexey, and Issam Louhichi. "Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbols." In Operator Algebras, Toeplitz Operators and Related Topics, 175–87. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_13.

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Frazho, Arthur E., and Wisuwat Bhosri. "Toeplitz and Laurent Operators." In An Operator Perspective on Signals and Systems, 23–40. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0292-1_2.

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Roch, Steffen, and Bernd Silbermann. "Toeplitz and Hankel Algebras – Axiomatic and Asymptotic Aspects." In Operator Theory, Operator Algebras, and Matrix Theory, 285–315. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_14.

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Conference papers on the topic "Toeplitz operator"

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Ohta, Y. "A study on the norm of mixed Hankel-Toeplitz operator." In Proceedings of 2000 American Control Conference (ACC 2000). IEEE, 2000. http://dx.doi.org/10.1109/acc.2000.878713.

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Fardad, Makan. "The operator algebra of almost Toeplitz matrices and the optimal control of large-scale systems." In 2009 American Control Conference. IEEE, 2009. http://dx.doi.org/10.1109/acc.2009.5160148.

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Jonckheere, Edmond, and J. Juang. "A finite polynomial algorithm for computing the largest eigenvalue of the "Toeplitz+Hankel" operator of the H∞ problem." In 1986 25th IEEE Conference on Decision and Control. IEEE, 1986. http://dx.doi.org/10.1109/cdc.1986.267275.

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"I.5 Toeplitz and Toeplitz-like Operators." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_others02.

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Falk, Kevin. "Spectral triples and Toeplitz operators." In Frontiers of Fundamental Physics 14. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.224.0140.

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Turcajova, Radka, and Jaroslav Kautsky. "Block Toeplitz-like operators and multiwavelets." In SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, edited by Harold H. Szu. SPIE, 1995. http://dx.doi.org/10.1117/12.205454.

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Grudsky, S., and N. Vasilevski. "Dynamics of Spectra of Toeplitz Operators." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0045.

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Vasilevski, Nikolai, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Commutative Algebras of Toeplitz Operators in Action." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637748.

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ZORBOSKA, N. "MULTIPLICATION AND TOEPLITZ OPERATORS ON THE ANALYTIC BESOV SPACES." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0036.

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Shatarah, Amani. "Slant Toeplitz like Operators on The Lebesgue Space of The Torus." In 2021 International Conference on Information Technology (ICIT). IEEE, 2021. http://dx.doi.org/10.1109/icit52682.2021.9491674.

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