EAN: 9783319147406

Bilder-Quelle: discount24.de - Sport-Freizeit

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.

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23.03.2025 um 13:14 Uhr

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