书目名称 | Sequences and Series in Banach Spaces | 编辑 | Joseph Diestel | 视频video | | 丛书名称 | Graduate Texts in Mathematics | 图书封面 |  | 描述 | This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory | 出版日期 | Textbook 1984 | 关键词 | Banach; Banach Space; Banachscher Raum; Convexity; Sequences; Series; Spaces; choquet integral; compactness; | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-5200-9 | isbn_softcover | 978-1-4612-9734-5 | isbn_ebook | 978-1-4612-5200-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 | issn_series | 0072-5285 | copyright | Springer-Verlag New York, Inc. 1984 |
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