On the Banach Problem on Surjections

Details On the Banach Problem on Surjections On the Banach Problem on Surjections

2002-06-11

arxiv.org/abs/math/0206110v1

Mathematics

Functional Analysis

Latex2e

Scientific paper

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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