Operator functions and localization of spectra
"Operator Functions and Localization of Spectra" is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro- differential operators, as well as finite and infinite matrices are established. Thevolume also presents a systematical exposition of estimates for norms of operator-valued functions and their applications. TOC:Preface.- 1. Preliminaries.- 2. Norms of Matrix- Valued Functions.- 3. Invertibility of Finite Matrices.- 4. Localization of Eigenvalues of Finite Matrices.- 5. Block Matrices and pi-triangular Matrices.- 6. Norm Estimates for Functions.- 7. Functions of Non-Compact Operators.- 8. Bounded Perturbations of Nonselfadjoint Operators.- 9. Spectrum Localization of Nonself- Adjoint Operators.- 10. Multiplicative Representations of Resolvents.- 11. Relatively $P$-triangular Operators.- 12. Relatively Compact Perturbations of Normal Operators.- 13. Infinite Matrices in Hilbert Spaces and Differential Operators.- 14. Integral Operators in L2.- 15. Operator Matrices.- 16. Hille - Tamarkin integral operators.- 17. Integral operators in L8.- 18. Hille - Tamarkin Matrices.- 19. Zeros of Entire Functions.- List of Main Symbols.- Index.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
-
9783540202462
3540202463
- Maße
-
24 cm
- Umfang
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XIV, 256 S.
- Sprache
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Englisch
- Anmerkungen
-
Literaturangaben
- Erschienen in
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Lecture notes in mathematics ; 1830
- Klassifikation
-
Mathematik
- Schlagwort
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Linearer Operator
Nichtselbstadjungierter Operator
Spektrum
Hilbert-Raum
Operatorfunktion
Norm
- Ereignis
-
Veröffentlichung
- (wo)
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Berlin, Heidelberg, New York, Hong Kong, London, MIlan, Paris, Tokyo
- (wer)
-
Springer
- (wann)
-
2003
- Urheber
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 14:24 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Gil', Michail I.
- Springer
Entstanden
- 2003
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