Structure Of Hilbert Space Operators

Author: Chunlan Jiang and Zongyao Wang

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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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.