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A conjecture of Godefroy concerning James' theorem

Abstract : In this note we look at the interdependences between James' theorem and the boundary problem. To do so we show a variant of James' sup-theorem for C(K)-spaces conjectured by Godefroy: in order to know that a bounded weakly closed subset of a C(K)- space is weakly compact it is enough to test the sup-attainment only for measures with countable support.
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Contributor : Hermann Pfitzner <>
Submitted on : Thursday, January 26, 2012 - 9:56:24 AM
Last modification on : Friday, February 8, 2019 - 5:06:04 PM
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  • HAL Id : hal-00663001, version 1
  • ARXIV : 1201.5471

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Hermann Pfitzner. A conjecture of Godefroy concerning James' theorem. Quaterly Journal of Mathematics (The), f, 2013, 64 (2), pp.547-553. ⟨hal-00663001⟩

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