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Book synopsis

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 \ell_\infty/c_0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of \mathcal 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.§§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Separably Injective Banach Spaces
• Author: Antonio Aviles, Felix Cabello, Jesus M. F. Castillo, Manuel González, Yolanda Moreno
• Language: English
• Binding: Paperback
• Number of pages: 217
• EAN: 9783319147406
• ISBN: 3319147404
• ID: 09144198
• Publisher: Springer International Publishing AG
• Weight: 372 g
• Dimensions: 157 × 321 × 18 mm
• Date of publishing: 27. March 2016

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