LEADER 03150nam 2200565 450 001 9910480021403321 005 20170918221444.0 010 $a1-4704-0755-8 035 $a(CKB)3360000000464355 035 $a(EBL)3113565 035 $a(SSID)ssj0000973202 035 $a(PQKBManifestationID)11630548 035 $a(PQKBTitleCode)TC0000973202 035 $a(PQKBWorkID)10960233 035 $a(PQKB)10579319 035 $a(MiAaPQ)EBC3113565 035 $a(PPN)195410548 035 $a(EXLCZ)993360000000464355 100 $a20760206h19761976 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCharting the operator terrain /$fJohn Ernest 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1976] 210 4$dİ1976 215 $a1 online resource (216 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vvolume 6, number 171 (July 1976) 300 $a"Volume 6 ... (first of 3 numbers)." 311 $a0-8218-1871-6 320 $aIncludes bibliographical references and index. 327 $a""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 EQUIVALENCE RELATIONS AND CLASSIFICATION THEORY""; ""1. Quasi-equivalence""; ""2. Von Neumann classification of operators, in operator theoretic terms""; ""3. The bridge between operators and operator algebras""; ""4. Multiplicity theory for factor operators""; ""5. Weak containment and weak equivalence for operators""; ""6. Smooth operators""; ""7. The envelope of an operator""; ""CHAPTER 2 THE SPECTRUM AND QUASI-SPECTRUM OF AN OPERATOR""; ""1. The * - strong operator topology and its associated Borel structure"" 327 $a""2. The concrete dual of an operator""""3. The spectrum and quasi-spectrum of an operator""; ""4. Some spectral theory""; ""5. The topology on the spectrum""; ""CHAPTER 3 DECOMPOSITION THEORY""; ""1. The central decomposition""; ""2. The central measure lattice""; ""3. Multiplicity and the central decomposition""; ""CHAPTER 4 SPECTRAL MULTIPLICITY THEORY AND THE UNITARY EQUIVALENCE PROBLEM FOR OPERATORS""; ""CHAPTER 5 APPLICATIONS, EXAMPLES AND OPEN QUESTIONS""; ""1. Smooth operators""; ""2. Normal operators and spectral measures""; ""3. Binormal operators""; ""4. Trinormal operators"" 327 $a""5. Quasinormal operators""""6. Direct sum decompositions""; ""7. Some research proposals""; ""REFERENCES""; ""NOTATION INDEX""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" 410 0$aMemoirs of the American Mathematical Society ;$vnumber 171. 606 $aLinear operators 606 $aSpectral theory (Mathematics) 608 $aElectronic books. 615 0$aLinear operators. 615 0$aSpectral theory (Mathematics) 676 $a515/.72 700 $aErnest$b John$f1935-$0971782 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480021403321 996 $aCharting the operator terrain$92209469 997 $aUNINA