Cone characterization of Grothendieck spaces and Banach spaces containing c0

Polyrakis, IA; Xanthos, F

dc.contributor.author	Polyrakis, IA	en
dc.contributor.author	Xanthos, F	en
dc.date.accessioned	2014-03-01T01:35:27Z
dc.date.available	2014-03-01T01:35:27Z
dc.date.issued	2011	en
dc.identifier.issn	1385-1292	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21054
dc.subject	Bases for cones	en
dc.subject	c+0.l+1	en
dc.subject	Cones	en
dc.subject	Conic isomorphisms	en
dc.subject	Grothendieck spaces	en
dc.subject.classification	Mathematics	en
dc.subject.other	PROPERTY	en
dc.subject.other	REFLEXIVITY	en
dc.title	Cone characterization of Grothendieck spaces and Banach spaces containing c0	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11117-010-0103-7	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11117-010-0103-7	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	In this article we study the embeddability of cones in a Banach space X. First we prove that c0 is embeddable in X if and only if its positive cone c+0 is embeddable in X and we study some properties of Banach spaces containing c0 in the light of this result. So, unlike with the positive cone of ℓ1 which is embeddable in any non-reflexive space, c+0 has the same behavior as the whole space c0. In the second part of this article we give a characterization of Grothendieck spaces X according to the geometry of cones of X*. By these results we give a partial positive answer to a problem of J. H. Qiu concerning the geometry of cones. © 2010 Springer Basel AG.	en
heal.publisher	SPRINGER	en
heal.journalName	Positivity	en
dc.identifier.doi	10.1007/s11117-010-0103-7	en
dc.identifier.isi	ISI:000297545400008	en
dc.identifier.volume	15	en
dc.identifier.issue	4	en
dc.identifier.spage	677	en
dc.identifier.epage	693	en