Norm continuity of weakly quasi-continuous mappings

Alireza Kamel Mirmostafaee

Colloquium Mathematicae (2011)

  • Volume: 122, Issue: 1, page 83-91
  • ISSN: 0010-1354

Abstract

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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 < ∞.

How to cite

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Alireza Kamel Mirmostafaee. "Norm continuity of weakly quasi-continuous mappings." Colloquium Mathematicae 122.1 (2011): 83-91. <http://eudml.org/doc/284273>.

@article{AlirezaKamelMirmostafaee2011,
abstract = {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 < ∞.},
author = {Alireza Kamel Mirmostafaee},
journal = {Colloquium Mathematicae},
keywords = {topological games; norm continuity; quasi-continuity; sums of Banach spaces},
language = {eng},
number = {1},
pages = {83-91},
title = {Norm continuity of weakly quasi-continuous mappings},
url = {http://eudml.org/doc/284273},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Alireza Kamel Mirmostafaee
TI - Norm continuity of weakly quasi-continuous mappings
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 1
SP - 83
EP - 91
AB - 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 < ∞.
LA - eng
KW - topological games; norm continuity; quasi-continuity; sums of Banach spaces
UR - http://eudml.org/doc/284273
ER -

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