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Separably Injective Banach Spaces (Paperback)

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About this item

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 asell_infty/c_0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers ofmathcal L_infty 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.

Number of Pages: 217
Genre: Mathematics
Sub-Genre: Functional Analysis
Series Title: Lecture Notes in Mathematics
Format: Paperback
Publisher: Springer Verlag
Language: English
Street Date: March 27, 2016
TCIN: 51171674
UPC: 9783319147406
Item Number (DPCI): 248-17-2136
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