Introduction to Operator Theory and Invariant Subspaces - 1st Edition - ISBN: 9780444705211, 9780080960890

Introduction to Operator Theory and Invariant Subspaces, Volume 42

1st Edition

Authors: B. Beauzamy
Hardcover ISBN: 9780444705211
eBook ISBN: 9780080960890
Imprint: North Holland
Published Date: 1st October 1988
Page Count: 357
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Table of Contents

I. General Theory. Operators on Finite-Dimensional Spaces. Elementary Spectral Theory. The Orbits of a Linear Operator.

II. Compactness and its Applications. Spectral Theory for Compact Operators. Topologies on the Space of Operators.

III. Banach Algebras Techniques. Banach Algebras. Normal Operators.

IV. Analytic Functions. Banach Spaces of Analytic Functions. The Multiplication by ei&thgr; on H2 (&Pgr;) and L2 (&Pgr;).

V. Dilations and Extensions. Minimal Dilation of a Contraction. The H∞ Functional Calculus. C1-Contractions.

VI. Invariant Subspaces. Positive Results. A Counter-Example to the Invariant Subspace Problem.
Exercises. Index. References.


Description

I. General Theory. Operators on Finite-Dimensional Spaces. Elementary Spectral Theory. The Orbits of a Linear Operator.

II. Compactness and its Applications. Spectral Theory for Compact Operators. Topologies on the Space of Operators.

III. Banach Algebras Techniques. Banach Algebras. Normal Operators.

IV. Analytic Functions. Banach Spaces of Analytic Functions. The Multiplication by ei&thgr; on H2 (&Pgr;) and L2 (&Pgr;).

V. Dilations and Extensions. Minimal Dilation of a Contraction. The H∞ Functional Calculus. C1-Contractions.

VI. Invariant Subspaces. Positive Results. A Counter-Example to the Invariant Subspace Problem.
Exercises. Index. References.


Details

No. of pages:
357
Language:
English
Copyright:
© North Holland 1988
Published:
Imprint:
North Holland
eBook ISBN:
9780080960890

About the Authors

B. Beauzamy Author