English

Weakly $p$-sequentially continuous differentiable mappings

Functional Analysis 2020-01-01 v1

Abstract

In this paper, we introduce the notions uniformly p-convergent sets and weakly p-sequentially continuous differentiable mappings. Then we obtain a sufficient condition for those Banach spaces which either contain no copy of 1\ell_1 or have the p-Schur property. Finally, we obtain a characterization for the weakly p-sequentially continuous differentiable mappings.

Keywords

Cite

@article{arxiv.1912.12454,
  title  = {Weakly $p$-sequentially continuous differentiable mappings},
  author = {Morteza Alikhani},
  journal= {arXiv preprint arXiv:1912.12454},
  year   = {2020}
}
R2 v1 2026-06-23T12:58:00.728Z