On the Banach Problem on Surjections
Functional Analysis
2007-05-23 v1
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?
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Cite
@article{arxiv.math/0206110,
title = {On the Banach Problem on Surjections},
author = {Eugene Tokarev},
journal= {arXiv preprint arXiv:math/0206110},
year = {2007}
}
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