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

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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.
DOI : 10.4153/CMB-1999-013-8
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
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