Introduction to Operator Theory: 1st Edition (Hardback) book cover

Introduction to Operator Theory

1st Edition

By Takashi Yoshino

Chapman and Hall/CRC

128 pages

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Hardback: 9780582237438
pub: 1993-12-05
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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.

Table of Contents

BOUNDED LINEAR OPERATORS ON A HILBERT SPACE. Linear and bilinear functionals. Inner product and norm. Hilbert spaces. Subspaces. Basis and dimension. Boundedness. Operators. STRUCTURE OF OPERATORS. Spectrum of operators. Spectral theorem for normal operators. Polar decomposition. The unitary part of contractions. The structure of isometries. The structure of quasinormal operators. The structure of subnormal operators with a cyclic vector. Invariant subspaces of subnormal operators. Hyponormal operators. Co-isometric extensions of contractions. BIBLIOGRAPHY.

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Differential Equations
MATHEMATICS / Functional Analysis