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Record Nr. |
UNINA9910829068603321 |
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Autore |
Popescu Gelu <1958-> |
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Titolo |
Operator theory on noncommutative domains / / Gelu Popescu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (124 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 205, Number 964 |
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Disciplina |
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Soggetti |
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Ergodic theory |
Linear operators |
Dilation theory (Operator theory) |
Noncommutative algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 205, Number 964 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Operator algebras associated with noncommutative domains""; ""1.1. The noncommutative domain Df and a universal model""; ""1.2. The domain algebra An(Df) and its representations""; ""1.3. The Hardy algebra Fn(Df)""; ""1.4. Functional calculus for n-tuples of operators in Df""; ""1.5. The noncommutative variety Vf,J and a functional calculus""; ""1.6. Weighted shifts, symmetric weighted Fock spaces, and multipliers""; ""Chapter 2. Free holomorphic functions on noncommutative domains"" |
""2.1. Free holomorphic functions and Poisson transforms""""2.2. Schwarz lemma and Bohr's inequality for Fn(Df) ""; ""2.3. Weierstrass and Montel theorems for the algebra Hol(Df)""; ""2.4. Cauchy transforms and analytic functional calculus for n-tuples of operators""; ""Chapter 3. Model theory and unitary invariants on noncommutative domains""; ""3.1. Weighted shifts and invariant subspaces""; ""3.2. C*-algebras associated with noncommutative varieties and Wold decompositions""; ""3.3. Dilations on noncommutative domains and varieties""; ""3.4. Characteristic functions and model theory"" |
""3.5. Curvature invariant for n-tuples of operators in Dp""""Chapter 4. Commutant lifting and applications""; ""4.1. Interpolation on |
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