Hilbert Space Operators : A Problem Solving Approach （2003. XIV, 154 p. w. 10 figs.）

Hilbert Space Operators : A Problem Solving Approach （2003. XIV, 154 p. w. 10 figs.）

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 154 p.
  • 商品コード 9780817632427

基本説明

Covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators.

Full Description

This self-contained work on Hilbert space operators takes a problem-solving approach to the subject, combining theoretical results with a wide variety of exercises that range from the straightforward to the state-of-the-art.  Complete solutions to all problems are provided.  The text covers the basics of bounded linear operators on a Hilbert space and gradually progresses to more advanced topics in spectral theory and quasireducible operators. 

Written in a motivating and rigorous style, the work has few prerequisites beyond elementary functional analysis, and will appeal to graduate students and researchers in mathematics, physics, engineering, and related disciplines.

Contents

Preface * Invariant Subspaces * Hilbert Space Operators * Convergence and Stability * Reducing Subspaces * Shifts * Decompositions * Orthogonality * Hyponormal Operators * Spectral Properties * Paranormal Operators * Proper Contractions * Quasireducible Operators * The Lomonosov Theorem * Bibliography * Index