Rearrangement of series in nonnuclear spaces
Banaszczyk, Wojciech
Studia Mathematica, Tome 104 (1993), p. 213-222 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:216030 
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     author = {Wojciech Banaszczyk},
     title = {Rearrangement of series in nonnuclear spaces},
     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {213-222},
     zbl = {0811.46004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv107i3p213bwm}
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Banaszczyk, Wojciech. Rearrangement of series in nonnuclear spaces. Studia Mathematica, Tome 104 (1993) pp. 213-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv107i3p213bwm/

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[00002] [3] W. Banaszczyk and J. Grabowski, Connected subgroups of nuclear spaces, Studia Math. 78 (1984), 161-163. | Zbl 0537.46007