| 书目名称 | Functional Analysis | | 编辑 | Kôsaku Yosida | | 视频video | | | 丛书名称 | Classics in Mathematics | | 图书封面 |  | | 描述 | The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Sp | | 出版日期 | Book 1995Latest edition | | 关键词 | Fusion; Hilbert space; Self-adjoint operator; convergence; convolution; differential operator; distributio | | 版次 | 6 | | doi | https://doi.org/10.1007/978-3-642-61859-8 | | isbn_softcover | 978-3-540-58654-8 | | isbn_ebook | 978-3-642-61859-8Series ISSN 1431-0821 Series E-ISSN 2512-5257 | | issn_series | 1431-0821 | | copyright | Springer-Verlag Berlin Heidelberg 1995 |
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发表于 2025-3-21 18:30:07
