A separable space with no Schauder decomposition
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- by G. Allexandrov, Denka Kutzarova and A. Plichko PDF
- Proc. Amer. Math. Soc. 127 (1999), 2805-2806 Request permission
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.References
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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
- MR Author ID: 108570
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2805-2806
- MSC (1991): Primary 46B15
- DOI: https://doi.org/10.1090/S0002-9939-99-05370-8
- MathSciNet review: 1670410