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TWISTED HILBERT SPACES AND UNCONDITIONAL STRUCTURE

Published online by Cambridge University Press:  21 July 2003

N. J. Kalton
N. J. Kalton
Affiliation:
Department of Mathematics, University of Missouri-Columbia, Columbia, MO 65211, USA ([email protected])
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Abstract

We show that a twisted Hilbert space with an unconditional basis is isomorphic to a Hilbert space.

AMS 2000 Mathematics subject classification: Primary 46B10. Secondary 46C15

Keywords

twisted Hilbert spacesunconditional basesthree-space problem
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 2 , Issue 3 , July 2003 , pp. 401 - 408
Copyright
2003 Cambridge University Press

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