On the subspaces of JF and JT with non-separable dual

Apatsidis, D; Argyros, SA; Kanellopoulos, V

dc.contributor.author	Apatsidis, D	en
dc.contributor.author	Argyros, SA	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:28:57Z
dc.date.available	2014-03-01T01:28:57Z
dc.date.issued	2008	en
dc.identifier.issn	0022-1236	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19043
dc.subject	Banach spaces with non-separable dual	en
dc.subject	James Function space	en
dc.subject	James Tree space	en
dc.subject.classification	Mathematics	en
dc.subject.other	BANACH-SPACE	en
dc.subject.other	L1	en
dc.title	On the subspaces of JF and JT with non-separable dual	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jfa.2007.11.011	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jfa.2007.11.011	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	It is proved that every subspace of James Tree space (JT) with non-separable dual contains an isomorph of James Tree complemented in JT. This yields that every complemented subspace of JT with non-separable dual is isomorphic to JT. A new JT like space denoted as TF is defined. It is shown that every subspace of James Function space (JF) with non-separable dual contains an isomorph of TF. The later yields that every subspace of JF with non-separable dual contains isomorphs of c(0) and l(p) for 2 <= p < infinity. The analogues of the above results for bounded linear operators are also proved. (C) 2007 Elsevier Inc. All rights reserved.	en
heal.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
heal.journalName	Journal of Functional Analysis	en
dc.identifier.doi	10.1016/j.jfa.2007.11.011	en
dc.identifier.isi	ISI:000252998200003	en
dc.identifier.volume	254	en
dc.identifier.issue	3	en
dc.identifier.spage	632	en
dc.identifier.epage	674	en