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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