Mosco convergence and weak topologies for convex sets and functions
From MaRDI portal
Publication:4000930
DOI10.1112/S0025579300006471zbMath0762.46005MaRDI QIDQ4000930
Publication date: 26 September 1992
Published in: Mathematika (Search for Journal in Brave)
reflexive Banach spaceWijsman topologyKadec normMosco topologyFenchel transformlower semicontinuous convex functions
Geometry and structure of normed linear spaces (46B20) Methods involving semicontinuity and convergence; relaxation (49J45) Derivatives of functions in infinite-dimensional spaces (46G05)
Related Items
Wijsman convergence: A survey ⋮ Classical set convergences and topologies ⋮ Wijsman convergence of convex sets under renorming ⋮ The Wijsman and Attouch-Wets topologies on hyperspaces revisited ⋮ The slice topology: a viable alternative to mosco convergence in nonreflexive spaces ⋮ Efficiency and the uniform linear minorization of convex functions ⋮ On the convergence of subdifferentials of convex functions ⋮ Weak Topologies for the Closed Subsets of a Metrizable Space ⋮ Mosco approximation of integrands and integral functionals ⋮ Metrics that generate the same hyperspace convergence
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