On Banach spaces whose dual balls are not weak∗ sequentially compact Academic Article uri icon

abstract

  • Theorem 1. Let X be a Banach space. (a) If X * has a closed subspace in which no normalized sequence converges weak* to zero, then l 1 is isomorphic to a subspace of X. (b) If X * contains a bounded sequence which has no weak* convergent subsequence, then X contains a separable subspace whose dual is not separable. © 1997 The Weizmann Science Press of Israel.

author list (cited authors)

  • Hagler, J., & Johnson, W. B.

citation count

  • 30

complete list of authors

  • Hagler, J||Johnson, WB

publication date

  • December 1977