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Linear operators and their spectra /

Davies, E. B.

Linear operators and their spectra /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.7246
書名/作者:	Linear operators and their spectra // E. Brian Davies.
其他題名:	Linear Operators & their Spectra
作者:	Davies, E. B.
面頁冊數:	1 online resource (xii, 451 pages) : : digital, PDF file(s).
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Linear operators.
標題:	Spectral theory (Mathematics)
ISBN:	9780511618864 (ebook)
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511618864

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 ;105..

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:

383635
Linear operators.

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

Dewey Class. No.: 515.7246

Linear operators and their spectra /
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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.
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