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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 | Abstract: | Is 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 | Services: | Forum | Review | PDF | Favorites |
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