Some properties of analytic maps of operators inJ
*-algebras |
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Authors: | Dr Kazimierz Wŀodarczyk |
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Institution: | 1. Institute of Mathematics, ?ód? University, ul. St. Banacha 22, PL-90-238, ?ód?, Poland
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Abstract: | HereJ *-algebras are considered, i.e. linear spaces of operators mapping one complex Hilbert space into another, which have a kind of Jordan triple product structure. Balls are determined which contain the sets of values of functionalsf(S) (S any fixed operator) defined on the classes of (Fréchet-)holomorphic mapsf of the unit ball into the generalized upper half-plane and of the unit ball into the unit ball, respectively (see Theorems 1 and 2). Similar results were obtained for holomorphic maps of operators in the sense of functional calculus (see Theorems 3–5). |
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