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Linear operators and their spectra /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Linear operators and their spectra // E. Brian Davies.
remainder title:	Linear Operators & their Spectra
Author:	Davies, E. B.
Description:	1 online resource (xii, 451 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Linear operators. -
Online resource:	https://doi.org/10.1017/CBO9780511618864
ISBN:	9780511618864 (ebook)

Linear operators and their spectra /
Davies, E. B.

Linear operators and their spectra /Linear Operators & their SpectraE. Brian Davies. - 1 online resource (xii, 451 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;106. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.

ISBN: 9780511618864 (ebook)Subjects--Topical Terms:

672610
Linear operators.

LC Class. No.: QA329.2 / .D385 2007

Dewey Class. No.: 515.7246

Linear operators and their spectra /
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246 3 $a Linear Operators & their Spectra
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490 1 $a Cambridge studies in advanced mathematics ; $v 106
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear operators is ideal for postgraduate students and researchers, and contains many illustrative examples and exercises. Fredholm theory, Hilbert-Schmidt and trace class operators are discussed, as are one-parameter semigroups and perturbations of their generators. Two chapters are devoted to using these tools to analyze Markov semigroups. The text also provides a thorough account of the new theory of pseudospectra, and presents the recent analysis by the author and Barry Simon of the form of the pseudospectra at the boundary of the numerical range. This was a key ingredient in the determination of properties of the zeros of certain orthogonal polynomials on the unit circle. Finally, two methods, both very recent, for obtaining bounds on the eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties of the non-self-adjoint harmonic oscillator.
650 0 $a Linear operators. $3 672610
650 0 $a Spectral theory (Mathematics) $3 527757
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830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/CBO9780511618864