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Points of Weak*-Norm Continuity in the Unit Ball of the Space WC(K, X)*

Published online by Cambridge University Press:  20 November 2018

T. S. S. R. K. Rao
T. S. S. R. K. Rao*
Affiliation:
Indian Statistical Institute R.V. College Post Bangalore 560 059 India, email: TSS@isibang.ernet.in
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Abstract

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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.

Keywords

46B2046E40Points of weak*-norm continuityspace of vector valued weakly continuous functionsM-ideals
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 1 , 01 March 1999 , pp. 118 - 124
Copyright
Copyright © Canadian Mathematical Society 1999

References

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