A local spectral theory for closed operators

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Bibliographic Information

A local spectral theory for closed operators

Ivan Erdelyi, Wang Shengwang

（London Mathematical Society lecture note series, 105）

Cambridge University Press, 1985

  • : pbk.

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Note

Bibliography: p. 162-176

Includes index

Description and Table of Contents

Description

This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.

Table of Contents

  • Preface
  • Glossary of notations and symbols
  • 1. Introduction
  • 2. The spectral decomposition property
  • 3. Spectral duality
  • 4. Spectral resolvents
  • 5. Special topics in spectral decomposition
  • Appendix
  • Bibliography
  • Index.

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