an:03948995
Zbl 0591.46004
Godun, B. V.
Preserved extreme points
EN
Funct. Anal. Appl. 19, 144-146 (1985); translation from Funkts. Anal. Prilozh. 19, No. 2, 76-77 (1985).
00151206
1985
j
46A55 46B10
extreme point of the unit ball in a Banach space; reflexive
An extreme point of the unit ball in a Banach space X is said to be preserved if its image under the canonical mapping from X into its second dual \(X^{**}\) is an extreme point of the unit ball in \(X^{**}\). The author proves that X is reflexive if and only if every extreme point of its unit ball is preserved in each equivalent norm.
C.M.Edwards