Separably Injective Banach Spaces

Name: Separably Injective Banach Spaces
SKU: 23140321
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Lecture Notes in Mathematics

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Description

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.

Release date Australia

March 27th, 2016

Author

Series

Lecture Notes in Mathematics

Pages

217

Edition

1st ed. 2016

Audience

Professional & Vocational

Illustrations

XXII, 217 p.

Dimensions

155x235x13

ISBN-13

9783319147406

Product ID

23140321

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