Geodesic
On Weakly Sequentially Complete Banach Spaces
Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1341-1356
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We provide sufficient conditions for a Banach space Y to be weakly sequentially complete. These conditions are expressed in terms of the existence of directional derivatives for cone convex mappings with values in Y.
Classification : 26A51, 06A06, 46B45, 46B40
Mots-clés : Weakly sequentially complete Banach spaces, directional derivatives of cone convex mappings, cone convex mappings, directional derivatives 
@article{JCA_2017_24_4_JCA_2017_24_4_a14,
     author = {E. M. Bednarczuk and K. Lesniewski},
     title = {On {Weakly} {Sequentially} {Complete} {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {1341--1356},
     year = {2017},
     volume = {24},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a14/}
}
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E. M. Bednarczuk; K. Lesniewski. On Weakly Sequentially Complete Banach Spaces. Journal of convex analysis, Tome 24 (2017) no. 4, pp. 1341-1356. http://geodesic.mathdoc.fr/item/JCA_2017_24_4_JCA_2017_24_4_a14/