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28 March 2024
 
  » arxiv » math.FA/0206110

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On the Banach Problem on Surjections
Eugene Tokarev ;
Date 11 Jun 2002
Subject Functional Analysis MSC-class: 46B10 (Primary) 46A20, 46B07, 46B20 (Secondary) | math.FA
AbstractIs 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?
Source arXiv, math.FA/0206110
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