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Titlebook: Lectures on Hyponormal Operators; Mircea Martin,Mihai Putinar Book 1989 Springer Basel AG 1989 Hilbert space.analytic function.functional

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Subnormal Operators,case of hyponormal operators. Many other topics related to subnormal operators are omitted or only mentioned among the exercises. An optimal reference for the theory of subnormal operators up to 1981 is Conway’s monograph [2].
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Hyponormal Operators and Related Objects,nalogously to Theorem I.1.4, and this description provides complete unitary invariants for pure hyponormal operators. The description of the internal structure and the parametrization of these unitary invariants, as well as of a few objects arising directly from the hyponormality assumption, are two
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Operations with Hyponormal Operators,le II.2.1 that the square of a hyponormal operator may not be hyponormal. Thus the analytic functional calculus is excluded from these operations. Instead, the main tools in transforming hyponormal operators are the rectangular (and polar) cuttings, which originate in the work of Putnam. The main pa
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The Basic Inequalities,irst quantitative results of this nature were obtained by Kato [3] and Putnam [2]. They led to the famous Putnam inequality [6] which we have already met in the case of subnormal operators. Afterwards, Berger and Shaw [1] discovered, by more elaborated tools (the principal function), a sharper inequ
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