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Proceedings of the American Mathematical Society

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A separable space
with no Schauder decomposition

Authors: G. Allexandrov, Denka Kutzarova and A. Plichko
Journal: Proc. Amer. Math. Soc. 127 (1999), 2805-2806
MSC (1991): Primary 46B15
Published electronically: May 20, 1999
MathSciNet review: 1670410
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Abstract: We combine some known results to remark that there exists a separable Banach space which fails to have a Schauder decomposition. It can be chosen as a subspace of Gowers-Maurey space without any unconditional basic sequence.

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Additional Information

G. Allexandrov
Affiliation: Department of Mathematics and Informatics, University of Sofia, Bulgaria

Denka Kutzarova
Affiliation: Institute of Mathematics, Bulgarian Academy of Sciences, Bulgaria
Address at time of publication: Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208

A. Plichko
Affiliation: Department of Mathematics, Pedagogical University, Kirovograd, Ukraine

Received by editor(s): November 9, 1998
Published electronically: May 20, 1999
Additional Notes: The authors were partially supported by the Bulgarian Ministry of Education and Science under contract MM 506/95
Communicated by: Dale Alspach
Article copyright: © Copyright 1999 American Mathematical Society