Orlicz and unconditionally convergent series in L¹
J. Diestel
Banach Center Publications, Tome 65 (2004), p. 39-50 / Harvested from The Polish Digital Mathematics Library
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We revisit Orlicz's proof of the square summability of the norms of the terms of an unconditionally convergent series in L¹. The result is then used to motivate abstract generalizations and concrete improvements.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:281582 
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     author = {J. Diestel},
     title = {Orlicz and unconditionally convergent series in L$^1$},
     journal = {Banach Center Publications},
     volume = {65},
     year = {2004},
     pages = {39-50},
     zbl = {1064.46014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc64-0-4}
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J. Diestel. Orlicz and unconditionally convergent series in L¹. Banach Center Publications, Tome 65 (2004) pp. 39-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc64-0-4/