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Functional Analysis and Operator Algebras.
・ISBN 978-3-031-63667-7 paper EUR 159.99
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| 著者・編者 | Davidson, Kenneth R., |
|---|---|
| シリーズ | CMS/CAIMS Books in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2026 |
| ページ数 | 797 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-25464＞ |
解説
This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras.
In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors.
Part II covers the fundamentals of Banach algebras and C*-algebras, followed by more advanced material on C* and von Neumann algebras. This section is suitable for use in graduate courses, with instructors having the option to select specific topics.
Part III explores a range of important topics in operator theory and operator algebras. These include $H^p$ spaces, isometries and Toeplitz operators, nest algebras, dilation theory, applications to various classes of nonself-adjoint operator algebras, and noncommutative convexity and Choquet theory. This material is suitable for graduate courses and learning seminars, offering instructors flexibility in selecting topics.