Invariant Subspaces

  • Heydar Radjavi
  • Peter Rosenthal

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 77)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Heydar Radjavi, Peter Rosenthal
    Pages 1-10
  3. Heydar Radjavi, Peter Rosenthal
    Pages 11-25
  4. Heydar Radjavi, Peter Rosenthal
    Pages 26-35
  5. Heydar Radjavi, Peter Rosenthal
    Pages 36-59
  6. Heydar Radjavi, Peter Rosenthal
    Pages 60-83
  7. Heydar Radjavi, Peter Rosenthal
    Pages 84-94
  8. Heydar Radjavi, Peter Rosenthal
    Pages 95-116
  9. Heydar Radjavi, Peter Rosenthal
    Pages 117-137
  10. Heydar Radjavi, Peter Rosenthal
    Pages 138-166
  11. Heydar Radjavi, Peter Rosenthal
    Pages 167-191
  12. Heydar Radjavi, Peter Rosenthal
    Pages 192-198
  13. Back Matter
    Pages 199-222

About this book

Introduction

In recent years there has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self-adjoint of the results have been obtained in operators on Hilbert space. Some the context of certain general studies: the theory of the characteristic operator function, initiated by Livsic; the study of triangular models by Brodskii and co-workers; and the unitary dilation theory of Sz.­ Nagy and Foia!? Other theorems have proofs and interest independent of any particular structure theory. Since the leading workers in each of the structure theories have written excellent expositions of their work, (cf. Sz.-Nagy-Foia!? [1], Brodskii [1], and Gohberg-Krein [1], [2]), in this book we have concentrated on results independent of these theories. We hope that we have given a reasonably complete survey of such results and suggest that readers consult the above references for additional information. The table of contents indicates the material covered. We have restricted ourselves to operators on separable Hilbert space, in spite of the fact that most of the theorems are valid in all Hilbert spaces and many hold in Banach spaces as well. We felt that this restriction was sensible since it eases the exposition and since the separable-Hilbert­ space case of each of the theorems is generally the most interesting and potentially the most useful case.

Keywords

Excel Hilbert space Invarianter Unterraum addition analytic function banach spaces boundary element method character form information operator operator algebra perturbation perturbation theory theorem

Authors and affiliations

  • Heydar Radjavi
    • 1
  • Peter Rosenthal
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-65574-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1973
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-65576-0
  • Online ISBN 978-3-642-65574-6
  • Series Print ISSN 0071-1136
  • About this book