Geodesic
Norm continuity of weakly quasi-continuous mappings
Alireza Kamel Mirmostafaee1
1 Center of Excellence in Analysis on Algebraic Structures Department of Pure Mathematics Ferdowsi University of Mashhad P.O. 1159 Mashhad, Iran
Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 83-91.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $\mathcal{Q}$ be the class of Banach spaces $X$ for which every weakly quasi-continuous mapping $f: A \rightarrow X$ defined on an $\alpha$-favorable space $A$ is norm continuous at the points of a dense $G_\delta$ subset of $A$. We will show that this class is stable under $c_0$-sums and $\ell^p$-sums of Banach spaces for $1 \leq p \infty$.
DOI : 10.4064/cm122-1-8
Keywords: mathcal class banach spaces which every weakly quasi continuous mapping rightarrow defined alpha favorable space norm continuous points dense delta subset class stable under sums ell p sums banach spaces leq infty

Alireza Kamel Mirmostafaee 1

1 Center of Excellence in Analysis on Algebraic Structures Department of Pure Mathematics Ferdowsi University of Mashhad P.O. 1159 Mashhad, Iran 
@article{10_4064_cm122_1_8,
     author = {Alireza Kamel Mirmostafaee},
     title = {Norm continuity of weakly quasi-continuous mappings},
     journal = {Colloquium Mathematicum},
     pages = {83--91},
     publisher = {mathdoc},
     volume = {122},
     number = {1},
     year = {2011},
     doi = {10.4064/cm122-1-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-8/}
}
TY  - JOUR
AU  - Alireza Kamel Mirmostafaee
TI  - Norm continuity of weakly quasi-continuous mappings
JO  - Colloquium Mathematicum
PY  - 2011
SP  - 83
EP  - 91
VL  - 122
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-8/
DO  - 10.4064/cm122-1-8
LA  - en
ID  - 10_4064_cm122_1_8
ER  - 
%0 Journal Article
%A Alireza Kamel Mirmostafaee
%T Norm continuity of weakly quasi-continuous mappings
%J Colloquium Mathematicum
%D 2011
%P 83-91
%V 122
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-8/
%R 10.4064/cm122-1-8
%G en
%F 10_4064_cm122_1_8
Alireza Kamel Mirmostafaee. Norm continuity of weakly quasi-continuous mappings. Colloquium Mathematicum, Tome 122 (2011) no. 1, pp. 83-91. doi : 10.4064/cm122-1-8. http://geodesic.mathdoc.fr/articles/10.4064/cm122-1-8/

Cité par Sources :