English

Relatively weakly open convex combinations of slices

Functional Analysis 2017-01-24 v1

Abstract

We show that c0c_0, and in fact C(K)C(K) for any scattered compact Hausdorff space KK, have the property that finite convex combinations of slices of the unit ball are relatively weakly open.

Keywords

Cite

@article{arxiv.1701.06169,
  title  = {Relatively weakly open convex combinations of slices},
  author = {Trond A. Abrahamsen and Vegard Lima},
  journal= {arXiv preprint arXiv:1701.06169},
  year   = {2017}
}

Comments

7 pages

R2 v1 2026-06-22T17:56:28.979Z