Titlebook: Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics; The Carl M. Pearcy A Hari Bercovici,Ciprian I. Foias Book 1998 Sprin

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Operators of Putinar Type,tion can be applied to any operator. By slightly modifying Putinar’s proof, it is shown that the construction yields an operator . which is nonzero (and sometimes one-to-one) for operators closely related to hyponormal operators.

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Some Multplicities for Contractions with Hilbert-Schmidt Defect,ty of the unitary piece of the minimal coisometric extension. The main ingredient in these results, and another equivalent multiplicity measure, is the . in an “.-fold analytic co-kernel” defined on the unit disk for such an operator.

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An Algebraic Characterization of Boundary Representations,lgebra is an admissable subalgebra of its .. —envelope, in the sense of Arveson, then it has a completely isometric representation such that the associated Hilbert module is simultaneously orthogonally projective and orthogonally injective.