书目名称 | Topics in Banach Space Theory |
编辑 | Fernando Albiac,Nigel J. Kalton |
视频video | http://file.papertrans.cn/927/926091/926091.mp4 |
概述 | The approach taken is the unifying viewpoint of basic sequences.Includes supplementary material: |
丛书名称 | Graduate Texts in Mathematics |
图书封面 |  |
描述 | This book grew out of a one-semester course given by the second author in 2001 and a subsequent two-semester course in 2004-2005, both at the University of Missouri-Columbia. The text is intended for a graduate student who has already had a basic introduction to functional analysis; the aim is to give a reasonably brief and self-contained introduction to classical Banach space theory. Banach space theory has advanced dramatically in the last 50 years and we believe that the techniques that have been developed are very powerful and should be widely disseminated amongst analysts in general and not restricted to a small group of specialists. Therefore we hope that this book will also prove of interest to an audience who may not wish to pursue research in this area but still would like to understand what is known about the structure of the classical spaces. Classical Banach space theory developed as an attempt to answer very natural questions on the structure of Banach spaces; many of these questions date back to the work of Banach and his school in Lvov. It enjoyed, perhaps, its golden period between 1950 and 1980, culminating in the definitive books by Lindenstrauss and Tzafriri [138 |
出版日期 | Textbook 20061st edition |
关键词 | Banach Space; Sequence space; banach spaces; functional analysis |
版次 | 1 |
doi | https://doi.org/10.1007/0-387-28142-8 |
isbn_softcover | 978-1-4419-2099-7 |
isbn_ebook | 978-0-387-28142-1Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
issn_series | 0072-5285 |
copyright | Springer Science+Business Media, LLC, part of Springer Nature 2006 |