| 书目名称 | Hilbert Space Operators | | 副标题 | A Problem Solving Ap | | 编辑 | Carlos S. Kubrusly | | 视频video | | | 图书封面 |  | | 描述 | This is a problem book on Hilbert space operators (Le. , on bounded linear transformations of a Hilbert space into itself) where theory and problems are investigated together. We tre!l:t only a part of the so-called single operator theory. Selected prob lems, ranging from standard textbook material to points on the boundary of the subject, are organized into twelve chapters. The book begins with elementary aspects of Invariant Subspaces for operators on Banach spaces 1. Basic properties of Hilbert Space Operators are introduced in in Chapter Chapter 2, Convergence and Stability are considered in Chapter 3, and Re ducing Subspaces is the theme of Chapter 4. Primary results about Shifts on Hilbert space comprise Chapter 5. These are introductory chapters where the majority of the problems consist of auxiliary results that prepare the ground for the next chapters. Chapter 6 deals with Decompositions for Hilbert space contractions, Chapter 7 focuses on Hyponormal Operators, and Chapter 8 is concerned with Spectral Properties of operators on Banach and Hilbert spaces. The next three chapters (as well as Chapter 6) carry their subjects from an introductory level to a more advanced one, | | 出版日期 | Textbook 2003 | | 关键词 | Applied Mathematics; Finite; Hilbert space; Invariant; Operator theory; Problem-solving; algebra; equation; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-2064-0 | | isbn_softcover | 978-0-8176-3242-7 | | isbn_ebook | 978-1-4612-2064-0 | | copyright | Birkhäuser Boston 2003 |
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发表于 2025-3-21 18:25:37
