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Journal articles on the topic 'Fourier and Schur multipliers'

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Published: 7 July 2024
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1

Arhancet, Cédric. "Unconditionality, Fourier multipliers and Schur multipliers." Colloquium Mathematicum 127, no. 1 (2012): 17–37. http://dx.doi.org/10.4064/cm127-1-2.

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2

Neuwirth, Stefan, and Éric Ricard. "Transfer of Fourier Multipliers into Schur Multipliers and Sumsets in a Discrete Group." Canadian Journal of Mathematics 63, no. 5 (October 18, 2011): 1161–87. http://dx.doi.org/10.4153/cjm-2011-053-9.

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Abstract We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue– Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten–von- Neumann–Orlicz classes. Four applications are given: lacunary sets, unconditional Schauder bases for the subspace of a Lebesgue space determined by a given spectrum , the norm of the Hilbert transformand the Riesz projection on Schatten–von-Neumann classes with exponent a power of 2, and the norm of Toeplitz Schur multipliers on Schatten–von-Neumann classes with exponent less than 1.
3

Olevskii, Victor. "A connection between Fourier and Schur multipliers." Integral Equations and Operator Theory 25, no. 4 (December 1996): 496–500. http://dx.doi.org/10.1007/bf01203030.

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4

Spronk, Nico. "Measurable schur multipliers and completely bounded multipliers of the Fourier algebras." Proceedings of the London Mathematical Society 89, no. 01 (June 30, 2004): 161–92. http://dx.doi.org/10.1112/s0024611504014650.

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5

HAAGERUP, U., T. STEENSTRUP, and R. SZWARC. "SCHUR MULTIPLIERS AND SPHERICAL FUNCTIONS ON HOMOGENEOUS TREES." International Journal of Mathematics 21, no. 10 (October 2010): 1337–82. http://dx.doi.org/10.1142/s0129167x10006537.

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Let X be a homogeneous tree of degree q + 1 (2 ≤ q ≤ ∞) and let ψ : X × X → ℂ be a function for which ψ(x, y) only depends on the distance between x, y ∈ X. Our main result gives a necessary and sufficient condition for such a function to be a Schur multiplier on X × X. Moreover, we find a closed expression for the Schur norm ||ψ||S of ψ. As applications, we obtaina closed expression for the completely bounded Fourier multiplier norm ||⋅||M0A(G) of the radial functions on the free (non-abelian) group 𝔽N on N generators (2 ≤ N ≤ ∞) and of the spherical functions on the q-adic group PGL2(ℚq) for every prime number q.
6

ANOUSSIS, M., A. KATAVOLOS, and I. G. TODOROV. "Ideals of the Fourier algebra, supports and harmonic operators." Mathematical Proceedings of the Cambridge Philosophical Society 161, no. 2 (May 2, 2016): 223–35. http://dx.doi.org/10.1017/s0305004116000256.

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AbstractWe examine the common null spaces of families of Herz–Schur multipliers and apply our results to study jointly harmonic operators and their relation with jointly harmonic functionals. We show how an annihilation formula obtained in [1] can be used to give a short proof as well as a generalisation of a result of Neufang and Runde concerning harmonic operators with respect to a normalised positive definite function. We compare the two notions of support of an operator that have been studied in the literature and show how one can be expressed in terms of the other.
7

Harcharras, Asma. "Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets." Studia Mathematica 137, no. 3 (1999): 203–60. http://dx.doi.org/10.4064/sm-137-3-203-260.

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8

Caspers, Martijn, and Mikael de la Salle. "Schur and Fourier multipliers of an amenable group acting on non-commutative $L^p$-spaces." Transactions of the American Mathematical Society 367, no. 10 (March 4, 2015): 6997–7013. http://dx.doi.org/10.1090/s0002-9947-2015-06281-3.

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9

Caspers, Martijn, and Gerrit Vos. "BMO spaces of $\sigma $-finite von Neumann algebras and Fourier–Schur multipliers on ${\rm SU}_q(2)$." Studia Mathematica 262, no. 1 (2022): 45–91. http://dx.doi.org/10.4064/sm201202-18-6.

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10

Hladnik, Milan. "Compact Schur multipliers." Proceedings of the American Mathematical Society 128, no. 9 (February 28, 2000): 2585–91. http://dx.doi.org/10.1090/s0002-9939-00-05708-7.

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11

Levene, R. H., N. Spronk, I. G. Todorov, and L. Turowska. "Schur Multipliers of Cartan Pairs." Proceedings of the Edinburgh Mathematical Society 60, no. 2 (June 13, 2016): 413–40. http://dx.doi.org/10.1017/s0013091516000067.

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AbstractWe define the Schur multipliers of a separable von Neumann algebrawith Cartan maximal abelian self-adjoint algebra, generalizing the classical Schur multipliers of(ℓ2). We characterize these as the normal-bimodule maps on. Ifcontains a direct summand isomorphic to the hyperfinite II1factor, then we show that the Schur multipliers arising from the extended Haagerup tensor product⊗ehare strictly contained in the algebra of all Schur multipliers.
12

Todorov, Ivan G., and Lyudmila Turowska. "Schur and operator multipliers." Banach Center Publications 91 (2010): 385–410. http://dx.doi.org/10.4064/bc91-0-23.

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13

Lacruz, Miguel. "Norms of Schur multipliers." Linear Algebra and its Applications 219 (April 1995): 157–63. http://dx.doi.org/10.1016/0024-3795(93)00205-e.

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14

Davidson, Kenneth R., and Allan P. Donsig. "Norms of Schur multipliers." Illinois Journal of Mathematics 51, no. 3 (July 2007): 743–66. http://dx.doi.org/10.1215/ijm/1258131101.

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15

Levene, Rupert H., Ying-Fen Lin, and Ivan G. Todorov. "Positive extensions of Schur multipliers." Journal of Operator Theory 78, no. 1 (July 2017): 45–69. http://dx.doi.org/10.7900/jot.2016may24.2135.

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16

Knudby, Søren. "Semigroups of Herz–Schur multipliers." Journal of Functional Analysis 266, no. 3 (February 2014): 1565–610. http://dx.doi.org/10.1016/j.jfa.2013.11.002.

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17

Pisier, Gilles. "Completely co-bounded Schur multipliers." Operators and Matrices, no. 2 (2012): 263–70. http://dx.doi.org/10.7153/oam-06-18.

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18

Jezernik, Urban. "Schur multipliers of unitriangular groups." Journal of Algebra 399 (February 2014): 26–38. http://dx.doi.org/10.1016/j.jalgebra.2013.10.004.

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19

Aleksandrov, A. B., and V. V. Peller. "Hankel and Toeplitz-Schur multipliers." Mathematische Annalen 324, no. 2 (October 1, 2002): 277–327. http://dx.doi.org/10.1007/s00208-002-0339-z.

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20

Peller, V. V. "Hankel-Schur multipliers and multipliers of the space H1." Journal of Soviet Mathematics 31, no. 1 (October 1985): 2709–12. http://dx.doi.org/10.1007/bf02107256.

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21

Marcoci, Anca-Nicoleta, and Liviu-Gabriel Marcoci. "A new class of linear operators onℓ2and Schur multipliers for them." Journal of Function Spaces and Applications 5, no. 2 (2007): 151–65. http://dx.doi.org/10.1155/2007/949161.

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We introduce the spaceBw(ℓ2)of linear (unbounded) operators onℓ2which map decreasing sequences fromℓ2into sequences fromℓ2and we find some classes of operators belonging either toBw(ℓ2)or to the space of all Schur multipliers onBw(ℓ2). For instance we show that the spaceB(ℓ2)of all bounded operators onℓ2is contained in the space of all Schur multipliers onBw(ℓ2).
22

LUST, KURT. "IMPROVED NUMERICAL FLOQUET MULTIPLIERS." International Journal of Bifurcation and Chaos 11, no. 09 (September 2001): 2389–410. http://dx.doi.org/10.1142/s0218127401003486.

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This paper studies numerical methods for linear stability analysis of periodic solutions in codes for bifurcation analysis of small systems of ordinary differential equations (ODEs). Popular techniques in use today (including the AUTO97 method) produce very inaccurate Floquet multipliers if the system has very large or small multipliers. These codes compute the monodromy matrix explicitly or as a matrix pencil of two matrices. The monodromy matrix arises naturally as a product of many matrices in many numerical methods, but this is not exploited. In this case, all Floquet multipliers can be computed with very high precision by using the periodic Schur decomposition and corresponding algorithm [Bojanczyk et al., 1992]. The time discretisation of the periodic orbit becomes the limiting factor for the accuracy. We present just enough of the numerical methods to show how the Floquet multipliers are currently computed and how the periodic Schur decomposition can be fitted into existing codes but omit all details. However, we show extensive test results for a few artificial matrices and for two four-dimensional systems with some very large and very small Floquet multipliers to illustrate the problems experienced by current techniques and the better results obtained using the periodic Schur decomposition. We use a modified version of AUTO97 [Doedel et al., 1997] in our experiments.
23

Sukochev, Fedor, and Anna Tomskova. "(E,F)-Schur multipliers and applications." Studia Mathematica 216, no. 2 (2013): 111–29. http://dx.doi.org/10.4064/sm216-2-2.

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24

Skripka, Anna. "Sharpening Bounds for Multilinear Schur Multipliers." La Matematica 1, no. 1 (January 19, 2022): 167–85. http://dx.doi.org/10.1007/s44007-021-00011-w.

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25

Harris, Samuel J., Rupert H. Levene, Vern I. Paulsen, Sarah Plosker, and Mizanur Rahaman. "Schur multipliers and mixed unitary maps." Journal of Mathematical Physics 59, no. 11 (November 2018): 112201. http://dx.doi.org/10.1063/1.5066242.

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26

Oikhberg, Timur. "Restricted Schur multipliers and their applications." Proceedings of the American Mathematical Society 138, no. 05 (January 19, 2010): 1739–50. http://dx.doi.org/10.1090/s0002-9939-10-10203-2.

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27

Andersson, Mats Erik. "Integrable factors in compact Schur multipliers." Proceedings of the American Mathematical Society 133, no. 5 (May 1, 2005): 1469–73. http://dx.doi.org/10.1090/s0002-9939-04-07670-1.

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28

Skripka, Anna. "Tracial bounds for multilinear Schur multipliers." Linear Algebra and its Applications 590 (April 2020): 62–84. http://dx.doi.org/10.1016/j.laa.2019.12.033.

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29

MORAVEC, PRIMOŽ. "SCHUR MULTIPLIERS OF n-ENGEL GROUPS." International Journal of Algebra and Computation 18, no. 06 (September 2008): 1101–15. http://dx.doi.org/10.1142/s0218196708004767.

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We find a bound for the exponent of the Schur multiplier of a finite p-group in terms of the exponent and Engel length of the given group. It is also proved that if G is a 3-Engel group of finite exponent, then the exponent of H2(G) divides exp G. When G is a 4-Engel group of exponent e, the exponent of H2(G) divides 10e.
30

Bakshi, Rhea Palak, Dionne Ibarra, Sujoy Mukherjee, Takefumi Nosaka, and Józef H. Przytycki. "Schur multipliers and second quandle homology." Journal of Algebra 552 (June 2020): 52–67. http://dx.doi.org/10.1016/j.jalgebra.2019.12.027.

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31

McKee, A., I. G. Todorov, and L. Turowska. "Herz–Schur multipliers of dynamical systems." Advances in Mathematics 331 (June 2018): 387–438. http://dx.doi.org/10.1016/j.aim.2018.04.002.

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32

Eick, Bettina, Max Horn, and Seiran Zandi. "Schur multipliers and the Lazard correspondence." Archiv der Mathematik 99, no. 3 (September 2012): 217–26. http://dx.doi.org/10.1007/s00013-012-0426-7.

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33

Livshits, Leo. "Block-matrix generalizations of infinite-dimensional schur products and schur multipliers." Linear and Multilinear Algebra 38, no. 1-2 (July 1994): 59–78. http://dx.doi.org/10.1080/03081089508818340.

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34

Shamsaki, Afsaneh, and Peyman Niroomand. "The Schur multipliers of Lie algebras of maximal class." International Journal of Algebra and Computation 29, no. 05 (July 8, 2019): 795–801. http://dx.doi.org/10.1142/s0218196719500280.

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Let [Formula: see text] be a non-abelian nilpotent Lie algebra of dimension [Formula: see text] and [Formula: see text] be its Schur multiplier. It was proved by the second author the dimension of the Schur multiplier is equal to [Formula: see text] for some [Formula: see text]. In this paper, we classify all nilpotent Lie algebras of maximal class for [Formula: see text]. The dimension of Schur multiplier of such Lie algebras is also bounded by [Formula: see text]. Here, we give the structure of all nilpotent Lie algebras of maximal class [Formula: see text] when [Formula: see text] and then we show that all of them are capable.
35

Bozejko, Marek. "Remark on Walter's Inequality for Schur Multipliers." Proceedings of the American Mathematical Society 107, no. 1 (September 1989): 133. http://dx.doi.org/10.2307/2048046.

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36

Howlett, Robert B. "On the Schur Multipliers of Coxeter Groups." Journal of the London Mathematical Society s2-38, no. 2 (October 1988): 263–76. http://dx.doi.org/10.1112/jlms/s2-38.2.263.

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37

Bo{żejko, Marek. "Remark on Walter’s inequality for Schur multipliers." Proceedings of the American Mathematical Society 107, no. 1 (January 1, 1989): 133. http://dx.doi.org/10.1090/s0002-9939-1989-1007285-7.

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38

Livshits, Leo. "A note on 0-1 Schur multipliers." Linear Algebra and its Applications 222 (June 1995): 15–22. http://dx.doi.org/10.1016/0024-3795(93)00268-5.

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39

Aleksandrov, A. B., and V. V. Peller. "Schur multipliers of Schatten–von Neumann classes." Journal of Functional Analysis 279, no. 8 (November 2020): 108683. http://dx.doi.org/10.1016/j.jfa.2020.108683.

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40

Sukochev, F. A., and A. A. Tomskova. "Schur multipliers associated with symmetric sequence spaces." Mathematical Notes 92, no. 5-6 (November 2012): 830–33. http://dx.doi.org/10.1134/s0001434612110284.

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41

Urbanik, Witold. "The Schur multipliers of generalized reflection groups." Reports on Mathematical Physics 25, no. 1 (February 1988): 97–107. http://dx.doi.org/10.1016/0034-4877(88)90044-4.

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42

Moravec, Primož. "Schur multipliers and power endomorphisms of groups." Journal of Algebra 308, no. 1 (February 2007): 12–25. http://dx.doi.org/10.1016/j.jalgebra.2006.06.035.

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43

Duquet, Charles, and Christian Le Merdy. "A characterization of absolutely dilatable Schur multipliers." Advances in Mathematics 439 (March 2024): 109492. http://dx.doi.org/10.1016/j.aim.2024.109492.

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44

Ellis, Graham, and James Wiegold. "A bound on the Schur multiplier of a prime-power group." Bulletin of the Australian Mathematical Society 60, no. 2 (October 1999): 191–96. http://dx.doi.org/10.1017/s0004972700036327.

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The paper improves on an upper bound for the order of the Schur multiplier of a finite p-group given by Wiegold in 1969. The new bound is applied to the problem of classifying p-groups according to the size of their Schur multipliers.
45

Popa, Nicolae. "A Class of Schur Multipliers on Some Quasi-Banach Spaces of Infinite Matrices." Journal of Function Spaces and Applications 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/142731.

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46

Hatui, Sumana. "Schur multipliers of special 𝑝-groups of rank 2." Journal of Group Theory 23, no. 1 (January 1, 2020): 85–95. http://dx.doi.org/10.1515/jgth-2019-0045.

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AbstractLet G be a special p-group with center of order {p^{2}}. Berkovich and Janko asked to find the Schur multiplier of G in [Y. Berkovich and Z. Janko, Groups of Prime Power Order. Volume 3, De Gruyter Exp. Math. 56, Walter de Gruyter, Berlin, 2011; Problem 2027]. In this article, we answer this question by explicitly computing the Schur multiplier of these groups.
47

Hartung, René. "Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients." LMS Journal of Computation and Mathematics 13 (August 16, 2010): 260–71. http://dx.doi.org/10.1112/s1461157009000229.

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AbstractWe describe an algorithm for computing successive quotients of the Schur multiplierM(G) of a groupGgiven by an invariant finiteL-presentation. As applications, we investigate the Schur multipliers of various self-similar groups, including the Grigorchuk super-group, the generalized Fabrykowski–Gupta groups, the Basilica group and the Brunner–Sidki–Vieira group.
48

Dappa, Henry. "Quasi-radial Fourier multipliers." Studia Mathematica 84, no. 1 (1986): 1–24. http://dx.doi.org/10.4064/sm-84-1-1-24.

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49

Trigub, R. M. "Multipliers of Fourier series." Ukrainian Mathematical Journal 43, no. 12 (December 1991): 1572–78. http://dx.doi.org/10.1007/bf01066697.

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50

Mousavi, Azam K., Mohammad Reza R. Moghaddam, and Mehdi Eshrati. "Some inequalities for the multiplier of a pair of n-Lie algebras." Asian-European Journal of Mathematics 12, no. 02 (April 2019): 1950028. http://dx.doi.org/10.1142/s1793557119500281.

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Abstract:
Let [Formula: see text] be a pair of [Formula: see text]-Lie algebras. Then, we introduce the concept of Schur multiplier of the pair [Formula: see text], denoted by [Formula: see text], and some inequalities for the dimension of [Formula: see text] are given. We also determine a necessary and sufficient condition, for which the Schur multiplier of a pair of [Formula: see text]-Lie algebras can be embedded into the Schur multipliers of their [Formula: see text]-Lie algebra factors. Moreover, some inequalities for the Schur multiplier of a pair of finite-dimensional nilpotent [Formula: see text]-Lie algebras are acquired.
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