| 书目名称 | Separably Injective Banach Spaces | | 编辑 | Antonio Avilés,Félix Cabello Sánchez,Yolanda‘Moren | | 视频video | | | 概述 | This is the first book dedicated to the subject.Most of the material has never appeared in book form before (and all references to external results have been restricted to material which can be found | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as .l∞/c0. and .C(K). spaces, where .K. is a finite height compact space or an F-space, ultrapowers of .L∞. spaces and spaces of universal disposition). .It is no exaggeration to say that the theory of separably injective Banach spaces is strikingly different from that of injective spaces. For instance, separably injective Banach spaces are not necessarily isometric to, or complemented subspaces of, spaces of continuous functions on a compact space. Moreover, in contrast to the scarcity of examples and general results concerning injective spaces, we know of many different types of separably injective spaces and there is a rich theory around them. The monograph is completed with a preparatory chapter on injective spaces, a chapter on higher cardinal versions of separable injectivity and a lively discussion of open problems and further lines of research.. | | 出版日期 | Book 2016 | | 关键词 | 46A22,46B03,46B08,46M10,46M18,26B26,54B30; ; Extension of operators; Separably injective Banach spaces; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-14741-3 | | isbn_softcover | 978-3-319-14740-6 | | isbn_ebook | 978-3-319-14741-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 18:05:44
