HEAL DSpace

On spaces admitting no ℓp or c0 spreading model

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dc.contributor.author Argyros, SA en
dc.contributor.author Beanland, K en
dc.date.accessioned 2014-03-01T11:47:07Z
dc.date.available 2014-03-01T11:47:07Z
dc.date.issued 2012 en
dc.identifier.issn 13851292 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/38089
dc.subject Quotients of Banach spaces en
dc.subject Spreading models en
dc.title On spaces admitting no ℓp or c0 spreading model en
heal.type other en
heal.identifier.primary 10.1007/s11117-012-0165-9 en
heal.identifier.secondary http://dx.doi.org/10.1007/s11117-012-0165-9 en
heal.publicationDate 2012 en
heal.abstract It is shown that for each separable Banach space X not admitting ℓ1 as a spreading model there is a space Y having X as a quotient and not admitting any ℓp for 1 ≤ p < ∞ or c0 as a spreading model. We also include the solution to a question of Johnson and Rosenthal (Studia Math 43:77-92, 1972) on the existence of a separable space not admitting as a quotient any space with separable dual. © 2012 Springer Basel AG. en
heal.journalName Positivity en
dc.identifier.doi 10.1007/s11117-012-0165-9 en
dc.identifier.spage 1 en
dc.identifier.epage 18 en


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