Unconditional Decompositions in Subspaces of l2(X)

Unconditional Decompositions in Subspaces of l2(X) If a Banach space X is not isomorphic to a Hilbert space then l2X contains a subspace which has a UFDD, but does not admit a UFDD with a uniform bound for the dimensions of the decomposition. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Unconditional Decompositions in Subspaces of l2(X)

Positivity , Volume 8 (4) – Mar 10, 2003
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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2004 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-003-3883-1
Publisher site
See Article on Publisher Site

Abstract

If a Banach space X is not isomorphic to a Hilbert space then l2X contains a subspace which has a UFDD, but does not admit a UFDD with a uniform bound for the dimensions of the decomposition.

Journal

PositivitySpringer Journals

Published: Mar 10, 2003

References

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