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Separably Injective Banach Spaces

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Separably Injective Banach Spaces/ by Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno.
作者:	Avilés, Antonio.
其他作者:	Cabello Sánchez, Félix.
面頁冊數:	XXII, 217 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Functional analysis. -
電子資源:	https://doi.org/10.1007/978-3-319-14741-3
ISBN:	9783319147413

Separably Injective Banach Spaces
Avilés, Antonio.

Separably Injective Banach Spaces[electronic resource] /by Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno. - 1st ed. 2016. - XXII, 217 p.online resource. - Lecture Notes in Mathematics,21320075-8434 ;. - Lecture Notes in Mathematics,2144.

A primer on injective Banach spaces -- Separably injective Banach spaces -- Spaces of universal disposition -- Ultraproducts of type L∞ -- ℵ-injectivity -- Other weaker forms of injectivity -- Open Problems.

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.

ISBN: 9783319147413

Standard No.: 10.1007/978-3-319-14741-3doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Separably Injective Banach Spaces
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