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[null,"1.","Record Nr.",null,"UNINA9910964777403321"]
[null,null,"Autore",null,"Jiang Chunlan"]
[null,null,"Titolo",null,"Structure of Hilbert space operators / / Chunlan Jiang, Zongyao Wang"]
[null,null,"Pubbl/distr/stampa",null,"Hackensack, NJ, : World Scientific, 2006"]
[null,null,"ISBN",null,"9786611919511"]
[{"$nulls":4},"9781281919519"]
[{"$nulls":4},"1281919519"]
[{"$nulls":4},"9789812774484"]
[{"$nulls":4},"9812774483"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (x, 248 p.)"]
[null,null,"Disciplina",null,"515.733"]
[null,null,"Soggetti",null,"Hilbert space"]
[{"$nulls":4},"Linear operators"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 241-246) and index."]
[null,null,"Nota di contenuto",null,"Preface -- 1. Background. 1.1. Banach algebra. 1.2. K-theory of Banach algebra. 1.3. The basic of complex geometry. 1.4. Some results on Cowen-Douglas operators. 1.5. Strongly irreducible operators. 1.6. Compact perturbation of operators. 1.7. Similarity orbit theorem. 1.8. Toeplitz operator and Sobolev space -- 2. Jordan standard theorem and K[symbol]-group. 2.1. Generalized Eigenspace and minimal idempotents. 2.2. Similarity invariant of matrix. 2.3. Remark -- 3. Approximate Jordan theorem of operators. 3.1. Sum of strongly irreducible operators. 3.2. Approximate Jordan decomposition theorem. 3.3. Open problems. 3.4. Remark -- 4. Unitary invariant and similarity invariant of operators. 4.1. Unitary invariants of operators. 4.2. Strongly irreducible decomposition of operators and similarity invariant: K[symbol]-group. 4.3. (SI) decompositions of some classes of operators. 4.4. The commutant of Cowen-Douglas operators. 4.5. The Sobolev disk algebra. 4.6. The operator weighted shift. 4.7. Open problem. 4.8. Remark -- 5. The similarity invariant of Cowen-Douglas operators. 5.1. The Cowen-Douglas operators with index 1. 5.2. Cowen-Douglas operators with index n. 5.3. The commutant of Cowen-Douglas operators. 5.4. The commutant of a classes of operators. 5.5. The (5I) representation theorem of Cowen-Douglas operators. 5.6. Maximal ideals of the commutant of Cowen-Douglas operators. 5.7. Some approximation theorem. 5.8. Remark. 5.9. Open problem -- 6. Some "]
[{"$nulls":4},"other results about operator structure. 6.1. K[symbol]-group of some Banach algebra. 6.2. Similarity and quasisimilarity. 6.3. Application of operator structure theorem. 6.4. Remark. 6.5. Open problems."]
[null,null,null,"Sommario/riassunto","This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators. A unique presentation of the theorem of Cowen?Douglas operators is given. The authors take the strongly irreducible operator as a basic model, and find complete similarity invariants of Cowen?Douglas operators by using K-theory, complex geometry and operator algebra tools."]