Points of Weak*-Norm Continuity in the Unit Ball of the Space WC(K, X)*
Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 118-124
Voir la notice de l'article provenant de la source Cambridge
For a compact Hausdorff space with a dense set of isolated points, we give a complete description of points of weak $^{*}$ -norm continuity in the dual unit ball of the space of Banach space valued functions that are continuous when the range has the weak topology. As an application we give a complete description of points of weak-norm continuity of the unit ball of the space of vector measures when the underlying Banach space has the Radon-Nikodym property.
Mots-clés :
46B20, 46E40, Points of weak*-norm continuity, space of vector valued weakly continuous functions, M-ideals
Rao, T. S. S. R. K. Points of Weak*-Norm Continuity in the Unit Ball of the Space WC(K, X)*. Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 118-124. doi: 10.4153/CMB-1999-013-8
@article{10_4153_CMB_1999_013_8,
author = {Rao, T. S. S. R. K.},
title = {Points of {Weak*-Norm} {Continuity} in the {Unit} {Ball} of the {Space} {WC(K,} {X)*}},
journal = {Canadian mathematical bulletin},
pages = {118--124},
year = {1999},
volume = {42},
number = {1},
doi = {10.4153/CMB-1999-013-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-013-8/}
}
TY - JOUR AU - Rao, T. S. S. R. K. TI - Points of Weak*-Norm Continuity in the Unit Ball of the Space WC(K, X)* JO - Canadian mathematical bulletin PY - 1999 SP - 118 EP - 124 VL - 42 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-013-8/ DO - 10.4153/CMB-1999-013-8 ID - 10_4153_CMB_1999_013_8 ER -
Cité par Sources :