Borwein, Jon; Vanderwerff, Jon Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence. (English) Zbl 0820.46007 Mich. Math. J. 41, No. 2, 371-387 (1994). 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. Reviewer: S.S.Kutateladze (Novosibirsk) Cited in 11 Documents MSC: 46B10 Duality and reflexivity in normed linear and Banach spaces 46A55 Convex sets in topological linear spaces; Choquet theory 46N10 Applications of functional analysis in optimization, convex analysis, mathematical programming, economics 46G05 Derivatives of functions in infinite-dimensional spaces Keywords:dual Kadec-Klee norms; relationships between Wijsman, slice, and Mosco convergence PDF BibTeX XML Cite \textit{J. Borwein} and \textit{J. Vanderwerff}, Mich. Math. J. 41, No. 2, 371--387 (1994; Zbl 0820.46007) Full Text: DOI arXiv OpenURL