English

On weakly sequentially complete Banach spaces

Optimization and Control 2016-02-20 v1 Functional Analysis

Abstract

We provide sufficient conditions for a Banach space Y to be weakly sequentially complete. These conditions are expressed in terms of the existence of directional derivatives for cone convex mappings with values in Y .

Keywords

Cite

@article{arxiv.1602.04718,
  title  = {On weakly sequentially complete Banach spaces},
  author = {E. M. Bednarczuk and K. Leśniewski},
  journal= {arXiv preprint arXiv:1602.04718},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T12:50:29.756Z