# Topological Dichotomy and Unconditional Convergence

Serdica Mathematical Journal (1999)

- Volume: 25, Issue: 4, page 297-310
- ISSN: 1310-6600

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topLefevre, Pascal. "Topological Dichotomy and Unconditional Convergence." Serdica Mathematical Journal 25.4 (1999): 297-310. <http://eudml.org/doc/11520>.

@article{Lefevre1999,

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.},

author = {Lefevre, Pascal},

journal = {Serdica Mathematical Journal},

keywords = {Banach Space; Unconditional Convergence; Sidon Sets; Quasi-Sure Convergence; Banach space; uniconditional convergence; Sidon sets; quasi-sure convergence},

language = {eng},

number = {4},

pages = {297-310},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Topological Dichotomy and Unconditional Convergence},

url = {http://eudml.org/doc/11520},

volume = {25},

year = {1999},

}

TY - JOUR

AU - Lefevre, Pascal

TI - Topological Dichotomy and Unconditional Convergence

JO - Serdica Mathematical Journal

PY - 1999

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 25

IS - 4

SP - 297

EP - 310

AB - 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.

LA - eng

KW - Banach Space; Unconditional Convergence; Sidon Sets; Quasi-Sure Convergence; Banach space; uniconditional convergence; Sidon sets; quasi-sure convergence

UR - http://eudml.org/doc/11520

ER -

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