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Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence. (English) Zbl 0820.46007
This rather comprehensive article deals with interplay between the set convergences of the title. The most principal and typical result reads: Mosco and slice convergences coincide if and only if the weak-star and norm topologies agree on the dual sphere.
MSC:
46B10Duality and reflexivity in normed spaces
46A55Convex sets in topological linear spaces; Choquet theory
46N10Applications of functional analysis in optimization and programming
46G05Derivatives, etc. (functional analysis)