Rearrangement of series in nonnuclear spaces
Studia Mathematica, Tome 107 (1993) no. 3, pp. 213-222
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
It is proved that if a metrizable locally convex space is not nuclear, then it does not satisfy the Lévy-Steinitz theorem on rearrangement of series.
Keywords:
rearrangement of series, Lévy-Steinitz theorem
Affiliations des auteurs :
Wojciech Banaszczyk 1
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author = {Wojciech Banaszczyk},
title = {Rearrangement of series in nonnuclear spaces},
journal = {Studia Mathematica},
pages = {213--222},
publisher = {mathdoc},
volume = {107},
number = {3},
year = {1993},
doi = {10.4064/sm-107-3-213-222},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-213-222/}
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TY - JOUR AU - Wojciech Banaszczyk TI - Rearrangement of series in nonnuclear spaces JO - Studia Mathematica PY - 1993 SP - 213 EP - 222 VL - 107 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-107-3-213-222/ DO - 10.4064/sm-107-3-213-222 LA - en ID - 10_4064_sm_107_3_213_222 ER -
Wojciech Banaszczyk. Rearrangement of series in nonnuclear spaces. Studia Mathematica, Tome 107 (1993) no. 3, pp. 213-222. doi: 10.4064/sm-107-3-213-222
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