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A primer on Hilbert space operators
- 作者： Soltan, Piotr, author.
- 其他作者：
- 其他題名：
- Compact textbooks in mathematics.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Compact textbooks in mathematics,
- 主題： Hilbert space. , Operator theory. , Operator Theory.
- ISBN： 9783319920610 (electronic bk.) 、 9783319920603 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Spectrum of an operator -- Continuous functional calculus -- Positive operators -- Spectral theorems and functional calculus -- Compact operators -- The trace -- Functional calculus for families of operators -- Operators and their graphs -- z-transform -- Spectral theorems -- Self-adjoint extensions of symmetric operators -- One-parameter groups of unitary operators -- Appendices -- Index of notation -- References - Index.
- 摘要註: The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators. The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.
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讀者標籤：
- 系統號： 005437227 | 機讀編目格式
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