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Record Nr. |
UNINA9910480239103321 |
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Autore |
Junge Marius |
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Titolo |
Mixed-norm inequalities and operator space Lp embedding theory / / Marius Junge, Javier Parcet |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2010 |
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©2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (155 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 953 |
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Disciplina |
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Soggetti |
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Harmonic analysis |
Banach spaces |
Quantum statistics |
Lp spaces |
Noncommutative function spaces |
Martingales (Mathematics) |
Electronic books. |
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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 203, number 953 (2nd 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""; ""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 |
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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"" |
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