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Banach Spaces That Admit Support Sets

Borwein, Jonathan M. and Vanderwerff, Jon D. (1996) Banach Spaces That Admit Support Sets. Proceedings of the American Mathematical Society, 124 (3). pp. 751-755. ISSN 0002-9939

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      Abstract

      It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system.

      Item Type: Article
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: proper support point, support set, uncountable biorthogonal system, convex set
      Subjects: 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: 07 Sep 2014 21:32
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/87

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