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Some remarks on spreading models and mixed tsirelson spaces

Manousakis Antonios

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URIhttp://purl.tuc.gr/dl/dias/477A489D-15DA-42FF-8F89-BE2B0099DBAC-
Identifierhttp://www.ams.org/journals/proc/2003-131-08/S0002-9939-02-06832-6/S0002-9939-02-06832-6.pdf-
Languageen-
Extent11 pagesen
TitleSome remarks on spreading models and mixed tsirelson spacesen
CreatorManousakis Antoniosen
CreatorΜανουσακης Αντωνιοςel
Content SummaryWe prove that if a Banach space with a bimonotone shrinking basis does not contain `ω 1 spreading models but every block sequence of the basis contains a further block sequence which is a c − `n 1 spreading model for every n ∈ N, then every subspace has a further subspace which is arbitrarily distortable. We also prove that a mixed Tsirelson space T[(Sn, θn)n], such that θn & 0, does not contain `ω2 1 spreading modelsel
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-11-14-
Date of Publication2003-
Bibliographic CitationA.Manousakis .(2003).Some remarks on spreading models and mixed tsirelson spaces,.Proceedings of the American mathematical society [online].pp.2515-2525.Available:http://www.ams.org/journals/proc/2003-131-08/S0002-9939-02-06832-6/S0002-9939-02-06832-6.pdfen

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