| 书目名称 | Measure and Integral | | 副标题 | Volume 1 | | 编辑 | John L. Kelley,T. P. Srinivasan | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | This is a systematic exposition of the basic part of the theory of mea sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com monly used in functional analysis. Our two intentions are some what conflicting, and we have attempted a resolution as follows. The main body of the text requires only a first course in analysis as background. It is a study of abstract measures and integrals, and comprises a reasonably complete account of Borel measures and in tegration for R Each chapter is generally followed by one or more supplements. These, comprising over a third of the book, require some what more mathematical background and maturity than the body of the text (in particular, some knowledge of general topology is assumed) and the presentation is a little more brisk and informal. The material presented includes the theory of Borel measures and integration for ~n, the general theory of integration for locally compact Hausdorff spaces, and the first dozen results about invariant measures for groups. Most of the results expounded here are con | | 出版日期 | Textbook 1988 | | 关键词 | banach spaces; convergence; integral; integration; maximum; measure | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-4570-4 | | isbn_softcover | 978-1-4612-8928-9 | | isbn_ebook | 978-1-4612-4570-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag New York Inc. 1988 |
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发表于 2025-3-21 16:22:00
