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Separably Injective Banach Spaces by Felix Cabello Sanchez, Yolanda Moreno, Antonio Aviles, Manuel Gonzalez, Jesus M.F. Castillo (Paperback, 2016)

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.

Author
Felix Cabello Sanchez, Yolanda Moreno, Antonio Aviles, Manuel Gonzalez, Jesus M.F. Castillo
Publication Name
Separably Injective Banach Spaces
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2016
Type
Textbook
Number of Pages
217 Pages

Title_Author
Jesus M.F. Castillo, Yolanda Moreno, Manuel Gonzalez, Felix Cabello Sanchez, Antonio Aviles
Series Title
Lecture Notes in Mathematics
Country/Region of Manufacture
Switzerland

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