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A Survey on Renorming and Set Convergence

Borwein, Jonathan M. and Vanderwerff, Jon D. (1995) A Survey on Renorming and Set Convergence. Topological Methods in Nonlinear Analysis, 5 . pp. 211-228.

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      Abstract

      This article presents a survey of some recent results relating set convergence and renorming. We focus most of our attention on norms having various Kadec--Klee properties and their interplay with certain forms of set convergence including Wijsman and slice convergence.

      Item Type: Article
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: set convergence, convex analysis, Kadec-Klee norms, slice convergence, Mosco convergence, Wijsman convergence, Lipschitz regularizations
      Subjects: 46-xx Functional analysis > 46Axx Topological linear spaces and related structures
      46-xx Functional analysis > 46Bxx Normed linear spaces and Banach spaces; Banach lattices
      52-xx Convex and discrete geometry > 52Axx General convexity
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 17 Nov 2003
      Last Modified: 13 Sep 2014 21:23
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/97

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