Format:
1 online resource (260 pages)
ISBN:
9789812774484
Content:
Key Features:Explores the frontiers of the subject through a unified treatment and organization reach the frontier of this subjectAccessible to postgraduate students armed with the basics of operator theory and operator algebras.
Content:
Intro -- Contents -- 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 Ko-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: Ko-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 (SI) 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 Other Results About Operator Structure -- 6.1 K0-Group of Some Banach Algebra -- 6.2 Similarity and Quasisimilarity -- 6.3 Application of Operator Structure Theorem -- 6.4 Remark -- 6.5 Open Problems -- Bibliography -- Index.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
9789812566164
Additional Edition:
Erscheint auch als Druck-Ausgabe Jiang, Chunlan Structure of Hilbert Space operators New Jersey [u.a.] : World Scientific, 2006 9812566163
Language:
English
Subjects:
Mathematics
Keywords:
Hilbert-Raum
;
Operatortheorie
URL:
Volltext
(lizenzpflichtig)
Bookmarklink