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arXiv · 1912.12454

Weakly $p$-sequentially continuous differentiable mappings

Morteza Alikhani
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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 $\ell_1$ or have the p-Schur property. Finally, we obtain a characterization for the weakly p-sequentially continuous differentiable mappings.

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Morteza Alikhani. 2019-12-28. Weakly $p$-sequentially continuous differentiable mappings. https://arxiv.org/abs/1912.12454

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