Disappearance of extreme points
Author: Peter Morris
Journal: Proc. Amer. Math. Soc. 88 (1983), 244-246
MSC: Primary 46B20; Secondary 46B22
MathSciNet review: 695251
Abstract: It is shown that every separable Banach space which contains an isomorphic copy of is isomorphic to a strictly convex space such that no point of is an extreme point of the unit ball of .
-  J. Diestel and J. J. Uhl Jr., Vector measures, American Mathematical Society, Providence, R.I., 1977. With a foreword by B. J. Pettis; Mathematical Surveys, No. 15. MR 0453964
-  R. R. Phelps, Extreme points of polar convex sets, Proc. Amer. Math. Soc. 12 (1961), 291–296. MR 0121634, https://doi.org/10.1090/S0002-9939-1961-0121634-3