The Banach-Saks Theorem in C(S)
1974 ◽
Vol 26
(1)
◽
pp. 91-97
◽
A Banach space X has the Banach-Saks property if every sequence (xn) in X converging weakly to x has a subsequence (xnk) with (1/p)Σk=1xnk converging in norm to x. Originally, Banach and Saks [2] proved that the spaces Lp (p > 1) have this property. Kakutani [4] generalized their result by proving this for every uniformly convex Banach space, and in [9] Szlenk proved that the space L1 also has this property.
1992 ◽
Vol 53
(1)
◽
pp. 25-38
1989 ◽
Vol 40
(1)
◽
pp. 113-117
◽
Keyword(s):
1976 ◽
Vol 15
(1)
◽
pp. 87-96
1978 ◽
Vol s2-18
(1)
◽
pp. 151-156
◽
Keyword(s):
1976 ◽
Vol 54
(1)
◽
pp. 207-207
◽
Keyword(s):
Keyword(s):
1992 ◽
Vol 5
(3)
◽
pp. 47-50
◽