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A separable space with no Schauder decomposition |
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| Authors: | G. Allexandrov Denka Kutzarova A. Plichko |
| Affiliation: | Department of Mathematics and Informatics, University of Sofia, Bulgaria Denka Kutzarova ; Institute of Mathematics, Bulgarian Academy of Sciences, Bulgaria ; Department of Mathematics, Pedagogical University, Kirovograd, Ukraine |
| 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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