A $c_0$ saturated Banach space with tight structure

Argyros, S; Petsoulas, G

dc.contributor.author	Argyros, S	en
dc.contributor.author	Petsoulas, G	en
dc.date.accessioned	2014-03-01T01:59:00Z
dc.date.available	2014-03-01T01:59:00Z
dc.date.issued	2010	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/28814
dc.relation.uri	http://arxiv.org/abs/1012.2758	en
dc.subject	banach space	en
dc.title	A $c_0$ saturated Banach space with tight structure	en
heal.type	journalArticle	en
heal.publicationDate	2010	en
heal.abstract	It is shown that variants of the HI methods could yield objects closelyconnected to the classical Banach spaces. Thus we present a new $c_0$ saturatedspace, denoted as $\mathfrak{X}_0$, with rather tight structure. The space$\mathfrak{X}_0$ is not embedded into a space with an unconditional basis andits complemented subspaces have the following structure. Everyone is either oftype	en