论文标题
某些均匀$ p $ conconvergent集的应用
Some applications of uniformly $ p $-convergent sets
论文作者
论文摘要
在本文中，我们在Banach空间之间引入了一类新的有界线性算子的子集，这是统一完全连续集的p version。然后，我们研究了这些集合与Equicropact集之间的关系。此外，我们介绍了弱P序列连续可区分映射的概念，并获得了这些映射的一些特征。最后，我们通过p-Convergent运算符为微分映射提供了分解结果。
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.
