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26 April 2024

» arxiv » math.FA/0206013

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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
Eugene Tokarev ;
Date:	3 Jun 2002
Subject:	Functional Analysis MSC-class: 46B10 (Primary) 46A20, 46B07, 46B20, 46B28 (Secondary) \| math.FA
Abstract:	In 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.
Source:	arXiv, math.FA/0206013
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