Some applications of uniformly $ p $-convergent sets
Functional Analysis
2020-03-26 v1
Abstract
In this paper, we introduce a new class of subsets of bounded linear operators between Banach spaces which is p-version of the uniformly completely continuous sets. Then, we study the relationship between these sets with the equicompact sets. Moreover, we introduce the concept of weakly p-sequentially continuous differentiable mappings and obtain some characterizations of these mappings. Finally, we give a factorization result for differentiable mappings through p-convergent operators.
Keywords
Cite
@article{arxiv.2003.11465,
title = {Some applications of uniformly $ p $-convergent sets},
author = {M. Alikhani},
journal= {arXiv preprint arXiv:2003.11465},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1912.12454, arXiv:2002.01163