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Norm continuity of weakly quasi-continuous mappings

Alireza Kamel Mirmostafaee (2011)

Colloquium Mathematicae

Let be the class of Banach spaces X for which every weakly quasi-continuous mapping f: A → X defined on an α-favorable space A is norm continuous at the points of a dense G δ subset of A. We will show that this class is stable under c₀-sums and p -sums of Banach spaces for 1 ≤ p < ∞.

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