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In this article we obtain a characterization of the class of p-convergent operators between two Banach spaces in terms of p-(V) subsets of the dual space. Also, for 1 ≤… Click to show full abstract
In this article we obtain a characterization of the class of p-convergent operators between two Banach spaces in terms of p-(V) subsets of the dual space. Also, for 1 ≤ p < q ≤ ∞, by introducing the concepts of Pelczynski's properties (V)p,q and (V*)p,q, we obtain a condition that ensures that q-convergent operators are p-convergent operators. Some characterizations of the p-Schur property of Banach spaces and their dual spaces are deduced.
Keywords:
convergent;
operators schur;
schur property;
convergent operators
Journal Title: Analysis Mathematica
Year Published: 2020
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Journal Title: Analysis Mathematica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!