Norm continuity of weakly quasi-continuous mappings

Alireza Kamel Mirmostafaee

Colloquium Mathematicae, Tome 122 (2011), p. 83-91 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $ℓ^{p}$ -sums of Banach spaces for 1 ≤ p < ∞.

Publié le : 2011-01-01

Zbl 1221.54017

EUDML-ID : urn:eudml:doc:284273

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     title = {Norm continuity of weakly quasi-continuous mappings},
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     volume = {122},
     year = {2011},
     pages = {83-91},
     zbl = {1221.54017},
     language = {en},
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Alireza Kamel Mirmostafaee. Norm continuity of weakly quasi-continuous mappings. Colloquium Mathematicae, Tome 122 (2011) pp. 83-91. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm122-1-8/