| 书目名称 | Geometry of Müntz Spaces and Related Questions |
| 编辑 | Vladimir Gurariy,Wolfgang Lusky |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality.. |
| 出版日期 | Book 2005 |
| 关键词 | Banach spaces; Muentz polynomials; Muentz spaces; Volume; functional analysis; minimal sequences |
| 版次 | 1 |
| doi | https://doi.org/10.1007/11551621 |
| isbn_softcover | 978-3-540-28800-8 |
| isbn_ebook | 978-3-540-31546-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2005 |
发表于 2025-3-21 18:45:13
