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Separably injective Banach spaces

Aviles, Antonio.

Separably injective Banach spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Separably injective Banach spacesby Antonio Aviles ... [et al.].
其他作者:	Aviles, Antonio.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xxii, 217 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Banach spaces.
電子資源:	http://dx.doi.org/10.1007/978-3-319-14741-3
ISBN:	9783319147413$q(electronic bk.)

Separably injective Banach spaces
Separably injective Banach spaces[electronic resource] /by Antonio Aviles ... [et al.]. - Cham :Springer International Publishing :2016. - xxii, 217 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21320075-8434 ;. - Lecture notes in mathematics ;2035..

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$q(electronic bk.)

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

199048
Banach spaces.

LC Class. No.: QA322.2

Dewey Class. No.: 515.732

Separably injective Banach spaces
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520 $a 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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650 1 4 $a Mathematics. $3 184409
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