03780nam 2200685 450 991082811010332120170816143323.01-4704-0567-9(CKB)3360000000465137(EBL)3114266(SSID)ssj0000889069(PQKBManifestationID)11449081(PQKBTitleCode)TC0000889069(PQKBWorkID)10874648(PQKB)10603391(MiAaPQ)EBC3114266(RPAM)15950665(PPN)195418425(EXLCZ)99336000000046513720150416h20102010 uy 0engur|n|---|||||txtccrMixed-norm inequalities and operator space Lp embedding theory /Marius Junge, Javier ParcetProvidence, Rhode Island :American Mathematical Society,2010.©20101 online resource (155 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 953"Volume 203, number 953 (2nd of 5 numbers)."0-8218-4655-8 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Number 953.Harmonic analysisBanach spacesQuantum statisticsLp spacesNoncommutative function spacesMartingales (Mathematics)Harmonic analysis.Banach spaces.Quantum statistics.Lp spaces.Noncommutative function spaces.Martingales (Mathematics)515/.2433 SI 130rvkJunge Marius1643539Parcet Javier1975-MiAaPQMiAaPQMiAaPQBOOK9910828110103321Mixed-norm inequalities and operator space Lp embedding theory3988853UNINA