Operator theory on noncommutative domains / / Gelu Popescu
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| Autore: |
Popescu Gelu <1958->
|
| Titolo: |
Operator theory on noncommutative domains / / Gelu Popescu
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| ©2009 | |
| Descrizione fisica: | 1 online resource (124 p.) |
| Disciplina: | 515.724 |
| Soggetto topico: | Ergodic theory |
| Linear operators | |
| Dilation theory (Operator theory) | |
| Noncommutative algebras | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "Volume 205, Number 964 (third of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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 noncommutative domains""; ""4.2. Corona theorem for a class of Hardy algebras""; ""Bibliography"" | |
| Titolo autorizzato: | Operator theory on noncommutative domains |
| ISBN: | 1-4704-0578-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480404803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 205, Number 964.