Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence.
Michigan Mathematical Journal, 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.
Borwein, Jon, Vanderwerff, Jon
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On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence
Osaka Journal of Mathematics, 2014 18 ...
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Mosco convergence of gradient forms with non-convex potentials II
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Dual Kadec-Klee norms and the relationships between Wijsman, slice and Mosco convergence
, 1993 In this paper, we completely settle several of the open questions regarding the relationships between the three most fundamental forms of set convergence. In particular, it is shown that Wijsman and slice convergence coincide precisely when the weak star and norm topologies agree on the dual sphere.
Borwein, Jonathan M., Vanderwerff, J.
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Degenerate Elastic Networks. [PDF]
J Geom Anal, 2021 Del Nin G, Pluda A, Pozzetta M.
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