On the Banach Problem on Surjections

Simple item page
dc.creatorTokarev, Eugene
dc.date2002-06-11
dc.date.accessioned2026-07-07T04:49:03Z
dc.date.available2026-07-07T04:49:03Z
dc.descriptionIs shown that any separable superreflexive Banach space X may be isometrically embedded in a separable superreflexive Banach space Z=Z(X) (which, in addition, is of the same type and cotype as X) such that its conjugate admits a continuous surjection on each its subspace. This gives an affirmative answer on S. Banach problem: Whether there exists a Banach space X, non isomorphic to a Hilbert space, which admits a continuous linear surjection on each its subspace and is essentially different from l_1?
dc.descriptionLatex2e
dc.identifierhttps://arxiv.org/abs/math/0206110
dc.identifierhttp://arxiv.org/abs/math/0206110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64278
dc.subjectFunctional Analysis
dc.subject46B10 (Primary) 46A20, 46B07, 46B20 (Secondary)
dc.titleOn the Banach Problem on Surjections
dc.typetext

Files

Collections

arXiv