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Duality map characterisations for Opial conditions

Published online by Cambridge University Press:  17 April 2009

Tim Dalby  and
Brailey Sims
Tim Dalby
Affiliation:
Department of MathematicsThe University of NewcastleNew South Wales 2308Australia e-mail: bsims@frey.newcastle.edu.au
Brailey Sims
Affiliation:
Department of MathematicsThe University of NewcastleNew South Wales 2308Australia e-mail: bsims@frey.newcastle.edu.au
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Abstract

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We characterise Opial's condition, the non-strict Opial condition, and the uniform Opial condition for a Banach space X in terms of properties of the duality mapping from X into X*.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 413 - 417
Copyright
Copyright © Australian Mathematical Society 1996

References

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