Mixed-norm inequalities and operator space Lp embedding theory / / Marius Junge, Javier Parcet
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| Autore: |
Junge Marius
|
| Titolo: |
Mixed-norm inequalities and operator space Lp embedding theory / / Marius Junge, Javier Parcet
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
| ©2010 | |
| Descrizione fisica: | 1 online resource (155 p.) |
| Disciplina: | 515/.2433 |
| Soggetto topico: | Harmonic analysis |
| Banach spaces | |
| Quantum statistics | |
| Lp spaces | |
| Noncommutative function spaces | |
| Martingales (Mathematics) | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | ParcetJavier <1975-> |
| Note generali: | "Volume 203, number 953 (2nd of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Abstract""; ""Introduction""; ""0.1. Noncommutative function spaces""; ""0.2. Amalgamated Lp spaces""; ""0.3. Conditional Lp spaces""; ""0.4. Intersection spaces""; ""0.5. Mixed-norm inequalities""; ""0.6. Operator space Lp embeddings""; ""Chapter 1. Noncommutative integration""; ""1.1. Noncommutative Lp spaces""; ""1.2. Pisier's vector-valued Lp spaces""; ""1.3. The spaces Lpr(M, E) and Lpc(M, E)""; ""Chapter 2. Amalgamated Lp spaces""; ""2.1. Haagerup's construction""; ""2.2. Triangle inequality on K""; ""2.3. A metric structure on the solid K"" |
| ""Chapter 3. An interpolation theorem""""3.1. Finite von Neumann algebras""; ""3.2. Conditional expectations on K""; ""3.3. General von Neumann algebras I""; ""3.4. General von Neumann algebras II""; ""3.5. Proof of the main interpolation theorem""; ""Chapter 4. Conditional Lp spaces""; ""4.1. Duality""; ""4.2. Conditional L spaces""; ""4.3. Interpolation results and applications""; ""Chapter 5. Intersections of Lp spaces""; ""5.1. Free Rosenthal inequalities""; ""5.2. Estimates for BMO type norms""; ""5.3. Interpolation of 2-term intersections"" | |
| ""5.4. Interpolation of 4-term intersections""""Chapter 6. Factorization of Jp,qn(M, E)""; ""6.1. Amalgamated tensors""; ""6.2. Conditional expectations and ultraproducts""; ""6.3. Factorization of the space J,1n(M, E)""; ""Chapter 7. Mixed-norm inequalities""; ""7.1. Embedding of Jp,qn(M, E) into Lp(A; qn)""; ""7.2. Asymmetric Lp spaces and noncommutative (pq)""; ""Chapter 8. Operator space Lp embeddings""; ""8.1. Embedding Schatten classes""; ""8.2. Embedding into the hyperfinite factor""; ""8.3. Embedding for general von Neumann algebras""; ""Bibliography"" | |
| Titolo autorizzato: | Mixed-norm inequalities and operator space Lp embedding theory |
| ISBN: | 1-4704-0567-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480239103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Number 953.