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Introduction to Operator Theory : Pitman Research Notes in Mathematics - Takashi Yoshino

Introduction to Operator Theory

Pitman Research Notes in Mathematics

Paperback Published: 5th December 1993
ISBN: 9780582237438
Number Of Pages: 143

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An introductory exposition of the study of operator theory, presenting an interesting and rapid approach to some results which are not normally treated in an introductory source. The volume includes recent results and coverage of the current state of the field.

Bounded linear operators on a Hilbert space
Linear and bilinear functionalsp. 1
Inner product and normp. 2
Hilbert spacesp. 5
Subspacesp. 8
Basis and dimensionp. 13
Boundednessp. 14
Operatorsp. 17
Structure of operators
Spectrum of operatorsp. 35
Spectral theorem for normal operatorsp. 44
Polar decompositionp. 54
The unitary part of contractionsp. 62
The structure of isometriesp. 64
The structure of quasinormal operatorsp. 75
The structure of subnormal operators with a cyclic vectorp. 79
Invariant subspaces of subnormal operatorsp. 97
Hyponormal operatorsp. 111
Co-isometric extensions of contractionsp. 123
Bibliographyp. 138
Subject indexp. 141
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780582237438
ISBN-10: 0582237432
Series: Pitman Research Notes in Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 143
Published: 5th December 1993
Publisher: CHAPMAN & HALL
Country of Publication: GB
Dimensions (cm): 23.88 x 16.76  x 1.02
Weight (kg): 0.3
Edition Number: 1