Weak* derived sets of sets of linear functionals

  • B. V. Godun
Article
  • 32 Downloads

Abstract

For a Banach space X the w*-sequential closure operator in the adjoint space is, in general, not the topological closure operator. That is, it may happen that the w*-sequential closure of a subspace T of X* is not w*-sequentially closed. The possible length of the chain of repeated w*-sequential closures of a subspace of X* in dependence on the dimension of X**/X is investigated.

Keywords

Banach Space Closure Operator Linear Functional Sequential Closure Topological Closure 

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Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • B. V. Godun
    • 1
  1. 1.Kharkov Public Works Engineering InstituteUSSR

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