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Structure of Hilbert Space Operators

✍ Scribed by Chunlan Jiang, Zongyao Wang

Book ID
127448674
Publisher
World Scientific
Year
2006
Tongue
English
Weight
8 MB
Category
Library
City
Hackensack, NJ
ISBN
9812566163

No coin nor oath required. For personal study only.

✦ Synopsis

This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen-Douglas operators is given. The authors take the strongly irreducible operator as a basic model, and find complete similarity invariants of Cowen-Douglas operators by using K-theory, complex geometry and operator algebra tools.

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The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and co