LEADER 02681nam 2200601 450 001 9910787197003321 005 20170822144327.0 010 $a1-4704-1529-1 035 $a(CKB)3710000000230212 035 $a(EBL)3114248 035 $a(SSID)ssj0001108987 035 $a(PQKBManifestationID)11700781 035 $a(PQKBTitleCode)TC0001108987 035 $a(PQKBWorkID)11109220 035 $a(PQKB)11209891 035 $a(MiAaPQ)EBC3114248 035 $a(RPAM)17986017 035 $a(PPN)195408608 035 $a(EXLCZ)993710000000230212 100 $a20150416h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOperator-valued measures, dilations, and the theory of frames /$fDeguang Han, David R. Larson, Bei Liu, Rui Liu 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013. 210 4$dİ2013 215 $a1 online resource (98 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 1075 300 $a"May 2014, volume 229, number 1075 (second of 5 numbers)." 311 $a0-8218-9172-3 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.1. Frames""; ""1.2. Operator-valued Measures""; ""Chapter 2. Dilation of Operator-valued Measures""; ""2.1. Basic Definitions""; ""2.2. Dilation Spaces and Dilations""; ""2.3. Elementary Dilation Spaces""; ""2.4. The Minimal Dilation Norm |a???|_{ }""; ""2.5. The Dual Space of the Minimal Dilation Space""; ""2.6. The Maximal Dilation Norm |a???|_{ }""; ""Chapter 3. Framings and Dilations""; ""3.1. Hilbertian Dilations""; ""3.2. Operator-Valued Measures Induced by Discrete Framings"" 327 $a""3.3. Operator-Valued Measures Induced by Continuous Frames""""Chapter 4. Dilations of Maps""; ""4.1. Algebraic Dilations""; ""4.2. The Commutative Case""; ""4.3. The Noncommutative Case""; ""Chapter 5. Examples""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 1075. 606 $aVector-valued measures 606 $aOperator spaces 606 $aVon Neumann algebras 606 $aOperator theory 615 0$aVector-valued measures. 615 0$aOperator spaces. 615 0$aVon Neumann algebras. 615 0$aOperator theory. 676 $a512/.556 700 $aHan$b Deguang$f1959-$0311204 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910787197003321 996 $aOperator-valued measures, dilations, and the theory of frames$93866879 997 $aUNINA