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A Survey of Examples of Convex Functions and Classifications of Normed Space

Borwein, Jonathan M. (1994) A Survey of Examples of Convex Functions and Classifications of Normed Space. [Preprint]

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      Abstract

      This paper represents a slightly extended version of the eponymous talk given at the \sl VII Colloque Franco-Allemand d'Optimisation. My aim is to illustrate the tight connection between the sequential properties of a Banach space and the corresponding properties of the convex functions and sets which may or may not be defined on that space.

      Item Type: Preprint
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: convex functions, sequential properties, differentiability, nearest points, classical Banach spaces, Haar-null sets
      Subjects: 46-xx Functional analysis > 46Nxx Miscellaneous applications of functional analysis
      46-xx Functional analysis > 46Bxx Normed linear spaces and Banach spaces; Banach lattices
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 16 Nov 2003
      Last Modified: 21 Apr 2010 11:13
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/93

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