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|a Jiang, Chunlan.
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|a Structure of Hilbert space operators /
|c Chunlan Jiang, Zongyao Wang.
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|a Hackensack, NJ :
|b World Scientific,
|c 2006.
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|a 1 online resource (x, 248 pages)
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|a text
|b txt
|2 rdacontent
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|b c
|2 rdamedia
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|a Includes bibliographical references (pages 241-246) and index.
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|a Print version record.
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|a Power semiconductor devices are widely used for the control and management of electrical energy. The improving performance of power devices has enabled cost reductions and efficiency increases resulting in lower fossil fuel usage and less environmental pollution. This book provides the first cohesive treatment of the physics and design of silicon carbide power devices with an emphasis on unipolar structures. It uses the results of extensive numerical simulations to elucidate the operating principles of these important devices.
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|a 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 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.
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|a English.
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Hilbert space.
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650 |
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|a Linear operators.
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650 |
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|a Espace de Hilbert.
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650 |
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|a Opérateurs linéaires.
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|a MATHEMATICS
|x Transformations.
|2 bisacsh
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650 |
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7 |
|a Hilbert space.
|2 fast
|0 (OCoLC)fst00956785
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650 |
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|a Linear operators.
|2 fast
|0 (OCoLC)fst00999087
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700 |
1 |
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|a Wang, Zongyao.
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776 |
0 |
8 |
|i Print version:
|a Jiang, Chunlan.
|t Structure of Hilbert space operators.
|d Hackensack, NJ : World Scientific, 2006
|w (DLC) 2006283691
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856 |
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