A solution of one Problem of Lindenstrauss and Rosenthal on Subspace Homogeneous and Quotient Homogeneous Banach Spaces with Application to the Approximation Problem and to the Schroeder - Bernstein Problem

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dc.creatorTokarev, Eugene
dc.date2002-06-03
dc.date.accessioned2026-07-07T04:48:51Z
dc.date.available2026-07-07T04:48:51Z
dc.descriptionIn article is constructed a wide couple of pairwice non-isomorphic separable superreflexive Banach spaces E that are subspace homogeneous. Their conjugates are quotient homogeneous. None of this couple neither isomorphic to its Cartesian square nor has the approximation property. At the same time, any such E is isomorphic to E+ E+ W for some Banach space W and, hence, solves the Schroeder - Bernstein problem.
dc.descriptionLatex2e
dc.identifierhttps://arxiv.org/abs/math/0206013
dc.identifierhttp://arxiv.org/abs/math/0206013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64209
dc.subjectFunctional Analysis
dc.subject46B10 (Primary) 46A20, 46B07, 46B20, 46B28 (Secondary)
dc.titleA solution of one Problem of Lindenstrauss and Rosenthal on Subspace Homogeneous and Quotient Homogeneous Banach Spaces with Application to the Approximation Problem and to the Schroeder - Bernstein Problem
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