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Operator functions and localization of spectra / Michael I. Gilʹ

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: Lecture notes in mathematics ; 1830Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2003Description: XIV, 256 SISBN:
  • 3540202463
  • 354022463
Subject(s): Additional physical formats: Online-Ausg.: Operator Functions and Localization of Spectra. Berlin, Heidelberg : Springer Berlin Heidelberg, 2003. Online-Ressource (XIV, 262 p, online resource)MSC: MSC: *47-02 | 47A10 | 47A55 | 47A56 | 47E05 | 30C15 | 45P05 | 15A42RVK: RVK: SI 850 | SK 620LOC classification:
  • QA3
  • QA329.2
Summary: "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.- IndexPPN: PPN: 374495580
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Lect. notes / 1830 Available 36349817090
Total holds: 0
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