Geodesic
Topological Dichotomy and Unconditional Convergence
Serdica Mathematical Journal, Tome 25 (1999) no. 4, pp. 297-310 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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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}},
     journal = {Serdica Mathematical Journal},
     pages = {297--310},
     year = {1999},
     volume = {25},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1999_25_4_a2/}
}
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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/