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© 2003

Basic Classes of Linear Operators

Textbook

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 1-50
  3. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 51-133
  4. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 135-170
  5. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 171-191
  6. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 193-202
  7. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 203-217
  8. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 219-223
  9. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 225-235
  10. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 237-242
  11. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 243-257
  12. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 259-275
  13. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 277-298
  14. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 299-315
  15. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 317-345
  16. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 347-360
  17. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 361-399
  18. Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
    Pages 401-407
  19. Back Matter
    Pages 409-425

About this book

Introduction

The present book is an expanded and enriched version ofthe textBasicOperator Theory, written by the first two authors more than twenty years ago. Since then the three ofus have used the basic operator theory text in various courses. This experience motivated us to update and improve the old text by including a wider variety ofbasic classes ofoperators and their applications. The present book has also been written in such a way that it can serve as an introduction to our previous booksClassesofLinearOperators, Volumes I and II. We view the three books as a unit. We gratefully acknowledge the support of the mathematical departments of Tel-Aviv University, the University of Maryland at College Park, and the Vrije Universiteit atAmsterdam. The generous support ofthe Silver Family Foundation is highly appreciated. Amsterdam, November 2002 The authors Introduction This elementary text is an introduction to functional analysis, with a strong emphasis on operator theory and its applications. It is designed for graduate and senior undergraduate students in mathematics, science, engineering, and other fields.

Keywords

Hilbert space Operator theory Singular integral functional analysis operational calculus

Authors and affiliations

  1. 1.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  2. 2.Department of MathematicsUniversity of MarylandCollege ParkUSA
  3. 3.Department of Mathematics and Computer ScienceVrije Universiteit AmsterdamAmsterdamNetherlands

Bibliographic information

  • Book Title Basic Classes of Linear Operators
  • Authors Israel Gohberg
    Seymour Goldberg
    Marinus Kaashoek
  • DOI https://doi.org/10.1007/978-3-0348-7980-4
  • Copyright Information Birkhäuser Verlag 2003
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-7643-6930-9
  • eBook ISBN 978-3-0348-7980-4
  • Edition Number 1
  • Number of Pages XVII, 423
  • Number of Illustrations 2 b/w illustrations, 0 illustrations in colour
  • Topics Operator Theory
  • Buy this book on publisher's site

Reviews

"With a name like Gohberg–Goldberg–Kaashoek, it has got to be good. But let me count the ways. If you are interested in learning the basic theories of Hilbert and Banach spaces together with the well-known operators that act on them, this book is for you. It is intended for advanced undergraduate and beginning graduate students in mathematics.... The volume is actually a second edition of Basic Operator Theory by Gohberg and Goldberg.... Exercises and examples have been added.... The text is well written, clear, and readable.... A student at the specified level will have no difficulty understanding the presentation."

—SIAM Review

 

"The material is presented in a very clear way, emphasizing concepts over technical generalities. Another pleasant feature of the book is the large number of examples and exercises. In summary, the authors have successfully found an interesting way from the elementary level to some of the highlights of operator theory."

- Monatshefte für Mathematik