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Spectral Theory of Hyponormal Operators

  • Authors
  • Daoxing Xia

Part of the Operator Theory: Advances and Applications book series (OT, volume 10)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Daoxing Xia
    Pages 27-46
  3. Daoxing Xia
    Pages 47-79
  4. Daoxing Xia
    Pages 98-126
  5. Daoxing Xia
    Pages 127-159
  6. Back Matter
    Pages 179-242

About this book

Introduction

Spectral analysis of linear operators has always been one of the more active and important fields of operator theory, and of extensive interest to many operator theorists. Its devel­ opments usually are closely related to certain important problems in contemporary mathematics and physics. In the last 20 years, many new theories and interesting results have been discovered. Now, in this direction, the fields are perhaps wider and deeper than ever. This book is devoted to the study of hyponormal and semi-hyponormal operators. The main results we shall present are those of the author and his collaborators and colleagues, as well as some concerning related topics. To some extent, hyponormal and semi-hyponormal opera­ tors are "close" to normal ones. Although those two classes of operators contain normal operators as a subclass, what we are interested in are, naturally, nonnormal operators in those classes. With the well-studied normal operators in hand, we cer­ tainly wish to know the properties of hyponormal and semi-hypo­ normal operators which resemble those of normal operators. But more important than that, the investigations should be concen­ trated on the phenomena which only occur in the nonnormal cases.

Keywords

mathematics Natural operator operator theory spectral theory

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-5435-1
  • Copyright Information Birkhäuser Basel 1983
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-5437-5
  • Online ISBN 978-3-0348-5435-1
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • Buy this book on publisher's site
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