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On Dunford-Pettis Operators

Published online by Cambridge University Press:  20 November 2018

Elias Saab
Elias Saab*
Affiliation:
The University of British Columbia, Vancouver, B.C. V6T1Y4, Canada
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Abstract

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Let X be a complemented subspace of a Banach lattice E. It is shown that if every Dunford-Pettis operator from L1[0,1] into X is Pettis-representable then X has the Radon-Nikodym property.

Keywords

46G1046B22Dunford-Pettis operatorsRadon-Nikodym property
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 25 , Issue 2 , 01 June 1982 , pp. 207 - 209
Copyright
Copyright © Canadian Mathematical Society 1982

References

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