03147nam 2200565 450 991082812080332120170918221444.01-4704-0755-8(CKB)3360000000464355(EBL)3113565(SSID)ssj0000973202(PQKBManifestationID)11630548(PQKBTitleCode)TC0000973202(PQKBWorkID)10960233(PQKB)10579319(MiAaPQ)EBC3113565(RPAM)4123817(PPN)195410548(EXLCZ)99336000000046435520760206h19761976 uy| 0engur|n|---|||||txtccrCharting the operator terrain /John ErnestProvidence, Rhode Island :American Mathematical Society,[1976]©19761 online resource (216 p.)Memoirs of the American Mathematical Society ;volume 6, number 171 (July 1976)"Volume 6 ... (first of 3 numbers)."0-8218-1871-6 Includes bibliographical references and index.""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""""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""""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""Memoirs of the American Mathematical Society ;number 171.Linear operatorsSpectral theory (Mathematics)Linear operators.Spectral theory (Mathematics)515/.72Ernest John1935-1673945MiAaPQMiAaPQMiAaPQBOOK9910828120803321Charting the operator terrain4038432UNINA