Advertisement

Operator Functions and Localization of Spectra

  • Authors
  • Michael I. Gil’

Part of the Lecture Notes in Mathematics book series (LNM, volume 1830)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Michael I. Gil’
    Pages 1-9
  3. Michael I. Gil’
    Pages 11-34
  4. Michael I. Gil’
    Pages 35-48
  5. Michael I. Gil’
    Pages 49-63
  6. Michael I. Gil’
    Pages 65-74
  7. Michael I. Gil’
    Pages 97-121
  8. Michael I. Gil’
    Pages 123-134
  9. Michael I. Gil’
    Pages 151-161
  10. Michael I. Gil’
    Pages 163-172
  11. Michael I. Gil’
    Pages 189-197
  12. Michael I. Gil’
    Pages 199-213
  13. Michael I. Gil’
    Pages 215-226
  14. Michael I. Gil’
    Pages 227-234
  15. Michael I. Gil’
    Pages 235-241
  16. Michael I. Gil’
    Pages 243-252
  17. Back Matter
    Pages 254-256

About this book

Introduction

"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. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

Keywords

Eigenvalue Hilbert space Matrix differential operators integral operators spectrum

Bibliographic information

  • DOI https://doi.org/10.1007/b93845
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-20246-2
  • Online ISBN 978-3-540-45225-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site