Geodesic
Topological Dichotomy and Unconditional Convergence
Serdica Mathematical Journal, Tome 25 (1999) no. 4, pp. 297-310

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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.
Keywords: Banach Space, Unconditional Convergence, Sidon Sets, Quasi-Sure Convergence 
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     author = {Lefevre, Pascal},
     title = {Topological {Dichotomy} and {Unconditional} {Convergence}},
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Lefevre, Pascal. Topological Dichotomy and Unconditional Convergence. Serdica Mathematical Journal, Tome 25 (1999) no. 4, pp. 297-310. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_4_a2/