| 书目名称 | Tsirelson‘s Space | | 编辑 | Peter G. Casazza,Thaddeus J. Shura | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Tsirelson. The basic construction should be accessible to graduate students of functional analysis with a knowledge of the theory of Schauder bases, while topics of a more advanced nature are presented for the specialist. Bounded linear operators are studied through the use of finite-dimensional decompositions, and complemented subspaces are studied at length. A myriad of variant constructions are presented and explored, while open questions are broached in almost every chapter. Two appendices are attached: one dealing with a computer program which computes norms of finitely-supported vectors, while the other surveys recent work on weak Hilbert spaces (where a Tsirelson-type space provides an example). | | 出版日期 | Book 1989 | | 关键词 | Banach Space; Hilbert space; functional analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0085267 | | isbn_softcover | 978-3-540-50678-2 | | isbn_ebook | 978-3-540-46069-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1989 |
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