國立高雄大學圖資館 |

Language: English

Back

Separably injective Banach spaces

Aviles, Antonio.

Separably injective Banach spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Separably injective Banach spacesby Antonio Aviles ... [et al.].
other author:	Aviles, Antonio.
Published:	Cham :Springer International Publishing :2016.
Description:	xxii, 217 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Banach spaces.
Online resource:	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
LDR:02013nmm a2200313 a 4500 001 484119
003 DE-He213
005 20160922145808.0
006 m d
007 cr nn 008maaau
008 161012s2016 gw s 0 eng d
020 $a 9783319147413$q(electronic bk.)
020 $a 9783319147406$q(paper)
024 7 $a 10.1007/978-3-319-14741-3 $2 doi
035 $a 978-3-319-14741-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA322.2
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.732 $2 23
090 $a QA322.2 $b .S479 2016
245 0 0 $a Separably injective Banach spaces $h [electronic resource] / $c by Antonio Aviles ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xxii, 217 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2132
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.
650 0 $a Banach spaces. $3 199048
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Operator Theory. $3 274795
700 1 $a Aviles, Antonio. $3 742218
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-14741-3
950 $a Mathematics and Statistics (Springer-11649)