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A Primer on Spectral Theory / by Bernard Aupetit
(Universitext. ISSN:21916675)
版 | 1st ed. 1991. |
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出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 1991 |
大きさ | XII, 193 p : online resource |
著者標目 | *Aupetit, Bernard author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Topological groups LCSH:Lie groups FREE:Analysis FREE:Topological Groups and Lie Groups |
一般注記 | I. Some Reminders of Functional Analysis -- II. Some Classes of Operators -- §1. Finite-Dimensional Operators -- §2. Bounded Linear Operators on a Banach Space -- §3. Bounded Linear Operator on a Hilbert Space -- III. Banach Algebras -- §1. Definition and Examples -- §2. Invertible Elements and Spectrum -- §3. Holomorphic Functional Calculus -- §4. Analytic Properties of the Spectrum -- IV. Representation Theory -- §1. Gelfand Theory for Commutative Banach Algebras -- §2. Representation Theory for Non-Commutative Banach Algebras -- V. Some Applications of Subharmonicity -- §1. Some Elementary Applications -- §2. Spectral Characterizations of Commutative Banach Algebras -- §3. Spectral Characterizations of the Radical -- §4. Spectral Characterizations of Finite-Dimensional Banach Algebras -- §5. Automatic Continuity for Banach Algebra Morphisms -- §6. Elements with Finite Spectrum -- §7. Inessential Elements -- VI. Representation of C?-algebras and the Spectral Theorem -- §1. Banach Algebras with Involution -- §2. C?-algebras -- §3. The Spectral Theorem -- §4. Applications -- VII. An Introduction to Analytic Multifunctions -- §1. Definitions and General Properties -- §2. The Oka-Nishino Theorem and Its Applications -- §3. Distribution of Values of Analytic Multifunctions -- §4. Conclusion -- §1. Subharmonic Functions and Capacity -- §2. Functions of Several Complex Variables -- References -- Author and Subject Index HTTP:URL=https://doi.org/10.1007/978-1-4612-3048-9 |
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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 | 9781461230489 |
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電子リソース |
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EB00197939 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000105577 |
ISBN | 9781461230489 |
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