Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence

DOI10.1307/mmj/1029005003zbMath0820.46007arXivmath/9302212OpenAlexW2050801349MaRDI QIDQ1337430

Jonathan M. Borwein, Jon Vanderwerff

Publication date: 30 November 1994

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9302212

zbMATH Keywords

dual Kadec-Klee normsrelationships between Wijsman, slice, and Mosco convergence

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convex sets in topological linear spaces; Choquet theory (46A55) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (11)

Wijsman convergence: A survey ⋮ A multivalued strong law of large numbers ⋮ Further arguments for slice convergence in nonreflexive spaces ⋮ Wijsman Orlicz asymptotically ideal \(\phi\)-statistical equivalent sequences ⋮ ON λ-ASYMPTOTICALLY WIJSMAN GENERALIZED STATISTICAL CONVERGENCE OF SEQUENCES OF SETS ⋮ On asymptotically Wijsman lacunary statistical convergence of set sequences in ideal context ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Strong subdifferentiability and local Bishop-Phelps-Bollobás properties ⋮ New convergence definitions for sequences of sets ⋮ Convergence of Polynomial Level Sets

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