| 書目名稱 | Introduction to Operator Theory I | | 副標(biāo)題 | Elements of Function | | 編輯 | Arlen Brown,Carl Pearcy | | 視頻video | http://file.papertrans.cn/474/473996/473996.mp4 | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in- tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminar | | 出版日期 | Textbook 1977 | | 關(guān)鍵詞 | Funktionalanalysis; Hilbert space; Operator; Operator theory; functional analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-9926-4 | | isbn_softcover | 978-1-4612-9928-8 | | isbn_ebook | 978-1-4612-9926-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1977 |
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