On the Banach–Saks property
1977 ◽
Vol 82
(3)
◽
pp. 369-374
◽
Keyword(s):
A Banach space X is said to have the Banach–Saks property (BS) if every bounded sequence (xn) in X has a subsequence (), which is (C, 1) convergent in norm to a point x in X; that is,Kakutani (7) showed that all uniformly convex spaces are (BS); moreover, all (BS) spaces are reflexive. It is further known that both these implicationsare strict: see, for example, Baernstein (1) and Diestel (4).
1981 ◽
Vol 90
(2)
◽
pp. 259-264
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Keyword(s):
1984 ◽
Vol 95
(2)
◽
pp. 325-327
◽
Keyword(s):
1992 ◽
Vol 121
(3-4)
◽
pp. 245-252
◽
2012 ◽
Vol 142
(1)
◽
pp. 215-224
◽
Keyword(s):
1985 ◽
Vol 97
(3)
◽
pp. 489-490
Keyword(s):
1936 ◽
Vol 40
(3)
◽
pp. 415-415
1980 ◽
Vol 32
(2)
◽
pp. 421-430
◽
Keyword(s):
1976 ◽
Vol 19
(1)
◽
pp. 7-12
◽
Keyword(s):
1940 ◽
Vol 46
(4)
◽
pp. 304-312
◽