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A Primer on Hilbert Space Operators / by Piotr Sołtan
(Compact Textbooks in Mathematics. ISSN:2296455X)
版 | 1st ed. 2018. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2018 |
大きさ | XII, 200 p. 1 illus. in color : online resource |
著者標目 | *Sołtan, Piotr author SpringerLink (Online service) |
件 名 | LCSH:Operator theory FREE:Operator Theory |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-92061-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319920610 |
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電子リソース |
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EB00198861 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA329-329.9 DC23:515.724 |
書誌ID | 4000115500 |
ISBN | 9783319920610 |
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