Spectral Theory for Linear Operators
eBook - ePub

Spectral Theory for Linear Operators

Demicompactness and Perturbation Theory

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Spectral Theory for Linear Operators

Demicompactness and Perturbation Theory

About this book

This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces. This class played an important rule in the theory of perturbation. More precisely, it contributed in the construction of several classes of stability of essential spectra for bounded or unbounded linear operators. We should emphasize that this book is the first one dealing with the demicompactness concept and its relation with Fredholm theory for bounded and unbounded linear operators as well as block operator matrices acting on Banach spaces. Researchers, as well as graduate students in applicable analysis, will find that this book constitutes a useful survey of the fundamental principles of the subject. Nevertheless, the reader is assumed to be, at least, familiar with some related sections concerning notions like the compact, Fredholm operators, the basic tools of the weak topology, the concept of measures of weak noncompactness, etc. Otherwise, the reader is urged to consult the recommended literature in order to benefit fully from this book.

Features -

• First book dealing with demicompactness theory and its relation with Fredholm theory for bounded and unbounded linear operators as well as block operator matrices acting on Banach spaces.

• Self-contained coverage of classical and more recent classes of perturbations involving the concept of demicompactness.

• Offers a useful survey of the fundamental principles of spectral theory.

• Provides applications for problem arising in physics and which are modeled by integral or partial differential equations.

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Yes, you can access Spectral Theory for Linear Operators by Bilel Krichen in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Symbol Description
  10. 1 Basic Tools of Functional Analysis
  11. 2 Closed, Bounded, Compact and Weakly Compact Operators
  12. 3 Measures of Noncompactness MNCs
  13. 4 Fredholm and Semi-Fredholm Operators
  14. 5 Demicompact Linear Operators
  15. 6 Demicompact Nonlinear Operators
  16. 7 Demicompactness of Polynomial and Operator Matrices
  17. 8 Demicompactness and Fredholm Theory
  18. 9 Description of Essential Spectra Under Demicompactness
  19. 10 Fredholm Operator Matrices Under Demicompactness
  20. 11 Relatively Pseudo Weakly Demicompact Operators
  21. 12 Some Results on B-Fredholm and Demicompact Operators
  22. 13 Demicompactness and Restrictions
  23. 14 Generalized Weak Demicompactness and MNSS
  24. 15 Applications to Mathematical Physics Problems
  25. Bibliography
  26. Index