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Books on the topic 'Bounded linear operator'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

Beltiță, Daniel. Lie algebras of bounded operators. Basel: Birkhäuser Verlag, 2001.

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2

Kubrusly, Carlos S. Spectral Theory of Bounded Linear Operators. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33149-8.

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3

Harte, Robin. Invertibility and singularity for bounded linear operators. New York: M. Dekker, 1988.

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4

Dragomir, Silvestru Sever. Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-17459-0.

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5

Pisier, Gilles. Similarity problems and completely bounded maps. 2nd ed. Berlin: Springer, 2001.

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6

Similarity problems and completely bounded maps. Berlin: Springer, 1996.

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7

Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. Providence, Rhode Island: American Mathematical Society, 2015.

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8

1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Providence, R.I: American Mathematical Society, 2011.

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9

Beltita, Daniel, and Mihai Sabac. Lie Algebras of Bounded Operators (Operator Theory, Advances and Applications, Vol 120). Birkhauser, 2000.

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10

Beltita, Daniel, and Mihai Sabac. Lie Algebras and Bounded Operators. Birkhauser, 2001.

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11

Beltita, Daniel. Lie Algebras of Bounded Operators. Springer, 2012.

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12

Gil', Michael. Bounds for Determinants of Linear Operators and Their Applications. Taylor & Francis Group, 2017.

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13

Bounds for Determinants of Linear Operators and Their Applications. Taylor & Francis Group, 2017.

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14

Bounds for Determinants of Linear Operators and Their Applications. Taylor & Francis Group, 2017.

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15

Gil', Michael. Bounds for Determinants of Linear Operators and Their Applications. Taylor & Francis Group, 2017.

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16

Gil', Michael. Bounds for Determinants of Linear Operators and Their Applications. Taylor & Francis Group, 2017.

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17

Kubrusly, Carlos S. Spectral Theory of Bounded Linear Operators. Birkhäuser, 2020.

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18

Kubrusly, Carlos S. Spectral Theory of Bounded Linear Operators. Springer International Publishing AG, 2021.

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19

Invertibility and Singularity for Bounded Linear Operators. Dover Publications, Incorporated, 2016.

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20

Harte, Robin. Invertibility and Singularity for Bounded Linear Operators. Dover Publications, Incorporated, 2016.

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21

Furuta, Takayuki. Invitation to Linear Operators: From Matrix to Bounded Linear Operators on a Hilbert Space. Gordon & Breach Publishing Group, 2001.

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22

Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space. Taylor & Francis Group, 2017.

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23

Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space. CRC, 2002.

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24

Furuta, Takayuki. Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space. Taylor & Francis Group, 2001.

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25

Furuta, Takayuki. Invitation to Linear Operators: From Matrices to Bounded Linear Operators on a Hilbert Space. Taylor & Francis Group, 2001.

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26

Pisier, Gilles. Similarity Problems and Completely Bounded Maps. Springer London, Limited, 2004.

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27

Pisier, Gilles. Similarity Problems and Completely Bounded Maps. Springer London, Limited, 2013.

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28

Dragomir, Silvestru Sever. Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces. Springer, 2019.

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29

Cave, Terence. Towards a Passing Theory of Literary Understanding. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198794776.003.0010.

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Relevance theory offers a model of communication where utterances are constantly updated by the speaker, inviting the listener to engage in a corresponding activity of inferential adjustment. In the case of literature, the potential time-scale of this activity is expanded, whether by the length of the text, the passage of historical time, or the demands of close reading. How then do incremental effects operate within the virtual time of literary utterance? How does one effect become a platform or trigger for others? This chapter touches on issues such as the situated logic of collocation and the ‘echoic’ as a way of approaching literary allusiveness, and brings together the micro-analysis of a line of poetry with a broader-scope reflection on the principles that operate over extended fictions. Adapting to literary understanding Davidson’s notion of a ‘passing theory’, it tracks the time-bound, ephemeral passage of verbal events through the reader’s cognitive focus.

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30

Zolf, Rachel. No One's Witness. Duke University Press, 2021. http://dx.doi.org/10.1215/9781478021551.

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In No One's Witness Rachel Zolf activates the last three lines of a poem by Jewish Nazi holocaust survivor Paul Celan—“No one / bears witness for the / witness”—to theorize the poetics and im/possibility of witnessing. Drawing on black studies, continental philosophy, queer theory, experimental poetics, and work by several writers and artists, Zolf asks what it means to witness from the excessive, incalculable position of No One. In a fragmentary and recursive style that enacts the monstrous speech it pursues, No One's Witness demonstrates the necessity of confronting the Nazi holocaust in relation to transatlantic slavery and its afterlives. Thinking along with black feminist theory's notions of entangled swarm, field, plenum, chorus, No One's Witness interrogates the limits and thresholds of witnessing, its dangerous perhaps. No One operates outside the bounds of the sovereign individual, hauntologically informed by the fleshly no-thingness that has been historically ascribed to blackness and that blackness enacts within, apposite to, and beyond the No One. No One bears witness to becomings beyond comprehension, making and unmaking monstrous forms of entangled future anterior life.

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31

Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

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Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the non-condensate states and are discussed in conjunction with Landau’s criterion for viscosity. Associated concepts of off-diagonal long-range order and the interpretation of <ψ> as a superfluid order parameter are also introduced. Anderson’s Bose-condensed state, as a phase-coherent wave packet superposition of number states, resolves issues of number conservation. Superconductivity involves bound Cooper pairs of electrons capable of Bose condensation and superfluid behavior. Correspondingly, the two-particle Green’s function has a term involving a product of anomalous bound-Cooper-pair condensate wave functions of the type F(1,2)=−i<(ψ(1)ψ(2))+>≠0, such that G2(1,2;1′,2′)=F(1,2)F+(1′,2′)+G˜2(1,2;1′,2′). Here, G˜2 describes the dynamics/excitations of the non-superfluid-condensate states, while nonvanishing F,F+ represent a phase-coherent wave packet superposition of Cooper-pair number states and off-diagonal long range order. Employing this form of G2 in the G1-equation couples the condensed state with the non-condensate excitations. Taken jointly with the dynamical equation for F(1,2), this leads to the Gorkov equations, encompassing the Bardeen–Cooper–Schrieffer (BCS) energy gap, critical temperature, and Bogoliubov-de Gennes eigenfunction Bogoliubons. Superconductor thermodynamics and critical magnetic field are discussed. For a weak magnetic field, the Gorkov-equations lead to Ginzburg–Landau theory and a nonlinear Schrödinger-like equation for the pair wave function and the associated supercurrent, along with identification of the Cooper pair density. Furthermore, Chapter 13 addresses the apparent lack of gauge invariance of London theory with an elegant variational analysis involving re-gauging the potentials, yielding a manifestly gauge invariant generalization of the London equation. Consistency with the equation of continuity implies the existence of Anderson’s acoustic normal mode, which is supplanted by the plasmon for Coulomb interaction. Type II superconductors and the penetration (and interaction) of quantized magnetic flux lines are also discussed. Finally, Chapter 13 addresses Josephson tunneling between superconductors.

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