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Viser: Separably Injective Banach Spaces
Separably Injective Banach Spaces Vital Source e-bog
Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González og Yolanda Moreno
(2016)
Separably Injective Banach Spaces
Antonio Avilés, F_lix Cabello Sánchez, Jesús M. F. Castillo, Manuel González og Yolanda Moreno
(2016)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (Marts 2016)
- Forfattere: Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González og Yolanda Moreno
- ISBN: 9783319147413
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Detaljer om varen
- 1. Udgave
- Paperback: 200 sider
- Udgiver: Springer International Publishing AG (Marts 2016)
- Forfattere: Antonio Avilés, F_lix Cabello Sánchez, Jesús M. F. Castillo, Manuel González og Yolanda Moreno
- ISBN: 9783319147406
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.
.- â?µ -injectivity.- Other weaker forms of injectivity.- Open Problems.