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  • © 2003

Operator Functions and Localization of Spectra

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

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Table of contents (19 chapters)

  1. Front Matter

    Pages I-XIV
  2. 1 Preliminaries

    • Michael I. Gil’
    Pages 1-9
  3. 2 Norms of Matrix-Valued Functions

    • Michael I. Gil’
    Pages 11-34
  4. 3 Invertibility of Finite Matrices

    • Michael I. Gil’
    Pages 35-48
  5. 4 Localization of Eigenvalues of Finite Matrices

    • Michael I. Gil’
    Pages 49-63
  6. 5 Block Matrices and π -Triangular Matrices

    • Michael I. Gil’
    Pages 65-74
  7. 7 Functions of Non-compact Operators

    • Michael I. Gil’
    Pages 97-121
  8. 8 Bounded Perturbations of Nonselfadjoint Operators

    • Michael I. Gil’
    Pages 123-134
  9. 10 Multiplicative Representations of Resolvents

    • Michael I. Gil’
    Pages 151-161
  10. 11 Relatively P-Triangular Operators

    • Michael I. Gil’
    Pages 163-172
  11. 14 Integral Operators in Space L 2

    • Michael I. Gil’
    Pages 189-197
  12. 15 Operator Matrices

    • Michael I. Gil’
    Pages 199-213
  13. 16 Hille - Tamarkin Integral Operators

    • Michael I. Gil’
    Pages 215-226
  14. 17 Integral Operators in Space L

    • Michael I. Gil’
    Pages 227-234
  15. 18 Hille - Tamarkin Matrices

    • Michael I. Gil’
    Pages 235-241
  16. 19 Zeros of Entire Functions

    • Michael I. Gil’
    Pages 243-252

About this book

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access