| 书目名称 | Topics in Banach Space Theory |
| 编辑 | Fernando Albiac,Nigel J. Kalton |
| 视频video | |
| 概述 | New edition extensively revised and updated.Includes two new chapters on Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces.Provides a self-contained o |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them..This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces..From the reviews of |
| 出版日期 | Textbook 2016Latest edition |
| 关键词 | Banach space theory; continuous functions; factorization theory; greedy approximation; lp-spaces; nonline |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-319-31557-7 |
| isbn_softcover | 978-3-319-81063-8 |
| isbn_ebook | 978-3-319-31557-7Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 16:26:49
