LEADER 03754nam 2200673 450 001 9910480239103321 005 20170816143323.0 010 $a1-4704-0567-9 035 $a(CKB)3360000000465137 035 $a(EBL)3114266 035 $a(SSID)ssj0000889069 035 $a(PQKBManifestationID)11449081 035 $a(PQKBTitleCode)TC0000889069 035 $a(PQKBWorkID)10874648 035 $a(PQKB)10603391 035 $a(MiAaPQ)EBC3114266 035 $a(PPN)195418425 035 $a(EXLCZ)993360000000465137 100 $a20150416h20102010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMixed-norm inequalities and operator space Lp embedding theory /$fMarius Junge, Javier Parcet 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2010. 210 4$dİ2010 215 $a1 online resource (155 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 953 300 $a"Volume 203, number 953 (2nd of 5 numbers)." 311 $a0-8218-4655-8 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""5.4. Interpolation of 4-term intersections""""Chapter 6. Factorization of Jp,qn(M, E)""; ""6.1. Amalgamated tensors""; ""6.2. Conditional expectations and ultraproducts""; ""6.3. Factorization of the space J,1n(M, E)""; ""Chapter 7. Mixed-norm inequalities""; ""7.1. Embedding of Jp,qn(M, E) into Lp(A; qn)""; ""7.2. Asymmetric Lp spaces and noncommutative (pq)""; ""Chapter 8. Operator space Lp embeddings""; ""8.1. Embedding Schatten classes""; ""8.2. Embedding into the hyperfinite factor""; ""8.3. Embedding for general von Neumann algebras""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 953. 606 $aHarmonic analysis 606 $aBanach spaces 606 $aQuantum statistics 606 $aLp spaces 606 $aNoncommutative function spaces 606 $aMartingales (Mathematics) 608 $aElectronic books. 615 0$aHarmonic analysis. 615 0$aBanach spaces. 615 0$aQuantum statistics. 615 0$aLp spaces. 615 0$aNoncommutative function spaces. 615 0$aMartingales (Mathematics) 676 $a515/.2433 700 $aJunge$b Marius$0975658 702 $aParcet$b Javier$f1975- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480239103321 996 $aMixed-norm inequalities and operator space Lp embedding theory$92221744 997 $aUNINA