A remark on localized weak precompactness in Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 271-276
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We give a characterization of $K$-weakly precompact sets in terms of uniform Gateaux differentiability of certain continuous convex functions.
We give a characterization of $K$-weakly precompact sets in terms of uniform Gateaux differentiability of certain continuous convex functions.
Classification :
46B07, 46B20, 46B22, 46B50, 46G05, 49J50
Keywords: $K$-weakly precompact set; uniform Gateaux differentiability
Keywords: $K$-weakly precompact set; uniform Gateaux differentiability
@article{CMUC_1999_40_2_a7,
author = {Matsuda, Minoru},
title = {A remark on localized weak precompactness in {Banach} spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {271--276},
year = {1999},
volume = {40},
number = {2},
mrnumber = {1732647},
zbl = {0983.46011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a7/}
}
Matsuda, Minoru. A remark on localized weak precompactness in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 271-276. http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a7/