LEADER 04347nam 2200613 450 001 9910818926703321 005 20170821171900.0 010 $a1-4704-0178-9 035 $a(CKB)3360000000464777 035 $a(EBL)3113781 035 $a(SSID)ssj0000888839 035 $a(PQKBManifestationID)11465743 035 $a(PQKBTitleCode)TC0000888839 035 $a(PQKBWorkID)10867688 035 $a(PQKB)10519417 035 $a(MiAaPQ)EBC3113781 035 $a(RPAM)1635415 035 $a(PPN)195414756 035 $a(EXLCZ)993360000000464777 100 $a20140903h19961996 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCompletely positive hypergroup actions /$fAjit Iqbal Singh 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1996. 210 4$dİ1996 215 $a1 online resource (87 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 124, Number 593 300 $a"November 1996, volume 124, number 593 (fourth of 5 numbers)." 311 $a0-8218-0539-8 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""Chapter 1. Presentations""; ""1.1. Admissible pairs of normed linear spaces and compatible pairs of Banach spaces""; ""1.2. Admissible pairs of spaces of operators""; ""1.3. A compatible pair of spaces of functions and measures""; ""1.4. Presentations and opresentations""; ""1.5. Actions and opactions""; ""Chapter 2. Complete Positivity and Other Properties for Presentations and Opresentations""; ""2.1. The C*a???algebra M[sub(n)](A) and completely positive maps""; ""2.2. Matrix ordered and matricially normed spaces"" 327 $a""2.3. Matrix ordered and matricially normed spaces of linear maps""""2.4. Interconnections amongst different notions of positivity and complete positivity""; ""2.5. Matricially order or norm admissible and compatible pairs""; ""2.6. Examples of matricially norm admissible and compatible pairs""; ""2.7. Matricially order or norm admissible and compatible pairs of spaces of linear maps""; ""2.8. Completely positive and completely bounded presentations and opresentations""; ""2.9. Topological structures on spaces of presentations"" 327 $a""2.10. Properties of the dual presentation and opresentation""""2.11. Completely positive and completely bounded actions and opactions""; ""2.12. Examples and remarks""; ""Chapter 3. Presentations of Hypergroups and Associated Actions""; ""3.1. (M(K), C[sub(b)]K)) as a natural matricially order compatible pair""; ""3.2. Matricially order compatible structures on (M(K), C[sub(b)]K)) through representations""; ""3.3. Special matrix orders on M(K) for commutative K""; ""3.4. Role of conjugate representations in Fourier transform"" 327 $a""3.5. Positive definite presentations and completely positive opresentations of hypergroups""""3.6. The spectral subspaces of a presentation of a hypergroup""; ""3.7. Quantized positivea???definite presentations and opresentations of hypergroups""; ""3.8. Completely positive instruments with values in K and their characteristic functions""; ""3.9. Completely positive hypergroup actions and opactions""; ""Chapter 4. Some Concrete Presentations and Actions of Hypergroups""; ""4.1. Presentations and opresentations arising from the left regular representation"" 327 $a""4.2. The situation in 2a???fold absolutely continuous hypergroups""""4.3. Amenability for hypergroups""; ""4.4. Folner hypergroups""; ""4.5. Isometry condition on I??(I??)""; ""4.6. Actions and opactions arising from the left regular representation""; ""4.7. The special case X = L[sup(2)](K) = X[sub(*)]""; ""References"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 124, Number 593. 606 $aHypergroups 606 $aRepresentations of groups 606 $aMeasure algebras 615 0$aHypergroups. 615 0$aRepresentations of groups. 615 0$aMeasure algebras. 676 $a512/.55 700 $aSingh$b Ajit Iqbal$f1944-$01606530 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910818926703321 996 $aCompletely positive hypergroup actions$93932354 997 $aUNINA