Weakly p-sequentially continuous differentiable mappings

2019/12/28 by Morteza Alikhani, Alikhani, Morteza
Mathematics · #46B25 #46E50 #46G05 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1912.12454

openalex publication_date 2019/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℓ₁ or have the p-Schur property. Finally, we obtain a characterization for the weakly p-sequentially continuous differentiable mappings.

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