Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/452

 Title: Topological Dichotomy and Unconditional Convergence Authors: Lefevre, Pascal Keywords: Banach SpaceUnconditional ConvergenceSidon SetsQuasi-Sure Convergence Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 4, (1999), 297p-310p Abstract: In this paper, we give a criterion for unconditional convergence with respect to some summability methods, dealing with the topological size of the set of choices of sign providing convergence. We obtain similar results for boundedness. In particular, quasi-sure unconditional convergence implies unconditional convergence. URI: http://hdl.handle.net/10525/452 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 4

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