SOME APPLICATIONS OF p-(DPL) SETS
Abstract
In this article, we introduce a new class of subsets of bounded
linear operators between Banach spaces which is p-(DPL) sets. Then, we
give some additional properties of these sets. Moreover, we introduce the
concept of p-Right sequentially continuous differentiable mappings and get
some characterizations of these mappings. In addition, a factorization result
for differentiable mappings through Dunford-Pettis p-convergent operators
is also investigated.
linear operators between Banach spaces which is p-(DPL) sets. Then, we
give some additional properties of these sets. Moreover, we introduce the
concept of p-Right sequentially continuous differentiable mappings and get
some characterizations of these mappings. In addition, a factorization result
for differentiable mappings through Dunford-Pettis p-convergent operators
is also investigated.
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