A c0 saturated Banach space with tight structure

Argyros, SA; Petsoulas, G

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Petsoulas, G	en
dc.date.accessioned	2014-03-01T01:37:34Z
dc.date.available	2014-03-01T01:37:34Z
dc.date.issued	2012	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21558
dc.subject	C0 saturated banach spaces	en
dc.subject	Hereditarily indecomposable	en
dc.subject	Saturated norms	en
dc.subject	Space of operators	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.title	A c0 saturated Banach space with tight structure	en
heal.type	journalArticle	en
heal.publicationDate	2012	en
heal.abstract	It is shown that variants of the HI methods could yield objects closely connected to the classical Banach spaces. Thus we present a new c(0) saturated space, denoted as (sic)(0), with rather tight structure. The space (sic)(0) is not embedded into a space with an unconditional basis and its complemented subspaces have the following structure. Everyone is either of type I, namely, contains an isomorph of (sic)(0) itself or else is isomorphic to a subspace of c(0) (type II). Furthermore for any analytic decomposition of (sic)(0) into two subspaces one is of type I and the other is of type II. The operators of (sic)(0) share common features with those of HI spaces. (C) 2011 Elsevier Inc. All rights reserved.	en
heal.journalName	Journal of Mathematical Analysis and Applications	en