An Indefinite Excursion in Operator Theory
eBook - PDF

An Indefinite Excursion in Operator Theory

Geometric and Spectral Treks in Kre?n Spaces

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

An Indefinite Excursion in Operator Theory

Geometric and Spectral Treks in Kre?n Spaces

About this book

This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.

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Yes, you can access An Indefinite Excursion in Operator Theory by Aurelian Gheondea in PDF and/or ePUB format, as well as other popular books in Mathematics & Abstract Algebra. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Dedication
  6. Contents
  7. Preface
  8. Chapter 1 Inner Product Spaces
  9. Chapter 2 Angular Operators
  10. Chapter 3 Subspaces of KreÄ­n Spaces
  11. Chapter 4 Linear Operators on KreÄ­n Spaces
  12. Chapter 5 Selfadjoint Projections and Unitary Operators
  13. Chapter 6 Techniques of Induced KreÄ­n Spaces
  14. Chapter 7 Plus/Minus-Operators
  15. Chapter 8 Geometry of Contractive Operators
  16. Chapter 9 Invariant Maximal Semidefinite Subspaces
  17. Chapter 10 Hankel Operators and Interpolation Problems
  18. Chapter 11 Spectral Theory for Selfadjoint Operators
  19. Chapter 12 Quasi-Contractions
  20. Chapter 13 More on Definitisable Operators
  21. Appendix
  22. References
  23. Symbol Index
  24. Index