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Weakly compact sets and smooth norms in Banach spaces

  • Marián Fabian (a1), Vicente Montesinos (a2) and Václav Zizler (a3)

Abstract

Two smoothness characterisations of weakly compact sets in Banach spaces are given. One that involves pointwise lower semicontinuous norms and one that involves projectional resolutions of identity.

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References

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[10]Haydon, R., ‘Trees in renorming theory’, Proc. London Math. Soc. 78 (1999), 541584.
[11]John, K. and Zizler, V., ‘Smoothness and its equivalents in weakly compactly generated Banach spaces’, J. Funct. Anal. 15 (1974), 161166.
[12]Orihuela, J., Schachermayerand, W.Valdivia, M., ‘Every Radon-Nikodým Corson Compact is Eberlein compact’, Studia Math. 98 (1991), 157174.
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Weakly compact sets and smooth norms in Banach spaces

  • Marián Fabian (a1), Vicente Montesinos (a2) and Václav Zizler (a3)

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