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Weakly compact sets and smooth norms in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Marián Fabian ,
Vicente Montesinos  and
Václav Zizler
Marián Fabian
Affiliation:
Mathematical Institute of the Czech Academy of Sciences, Žitná 25, 11567, Prague 1, Czech Repulic e-mail: [email protected]
Vicente Montesinos
Affiliation:
Departmento de Matemática Aplicada, E.T.S.I. Telecomunicación, Universidad Politécnica de ValenciaC/Vera, S/n. 46071, Valencia, Spain e-mail: [email protected]
Václav Zizler
Affiliation:
Department of Mathematical Sciences, University of Alberta, 632 Central Academic Building, Edmonton, Alberta T6G 2G1, Canada e-mail: [email protected]
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 223 - 230
Copyright
Copyright © Australian Mathematical Society 2002

References

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