A Cowers tree like space and the space of its bounded linear operators

Petsoulas, G; Raikoftsalis, T

dc.contributor.author	Petsoulas, G	en
dc.contributor.author	Raikoftsalis, T	en
dc.date.accessioned	2014-03-01T01:29:33Z
dc.date.available	2014-03-01T01:29:33Z
dc.date.issued	2009	en
dc.identifier.issn	0039-3223	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19299
dc.subject	Hereditarily indecomposable banach space	en
dc.subject	Strictly singular operators	en
dc.subject.classification	Mathematics	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	L1	en
dc.title	A Cowers tree like space and the space of its bounded linear operators	en
heal.type	journalArticle	en
heal.identifier.primary	10.4064/sm190-3-2	en
heal.identifier.secondary	http://dx.doi.org/10.4064/sm190-3-2	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	The famous Gowers tree space is the first example of a space not containing c0, ℓ1 or a reflexive subspace. We present a space with a similar construction and prove that it is hereditarily indecomposable (HI) and has ℓ2 as a quotient space. Furthermore, we show that every bounded linear operator on it is of the form λI + W where W is a weakly compact (hence strictly singular) operator. © Instytut Matematyczny PAN, 2009.	en
heal.publisher	POLISH ACAD SCIENCES INST MATHEMATICS	en
heal.journalName	Studia Mathematica	en
dc.identifier.doi	10.4064/sm190-3-2	en
dc.identifier.isi	ISI:000271277100002	en
dc.identifier.volume	190	en
dc.identifier.issue	3	en
dc.identifier.spage	233	en
dc.identifier.epage	281	en