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A Note on the Rn,k Property for L1 (μ E)

Published online by Cambridge University Press:  20 November 2018

T. S. S. R. K. Rao
T. S. S. R. K. Rao*
Affiliation:
Indian Statistical Institute, Bangalore Centre, R. V. College PO, Bangalore 560059 India
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Abstract

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In this paper we show that for a Banach space X having the Rn,k property and such that X is constrained in a dual space having the Radon-Nikodým property, the space of X-valued Bochner integrable functions has the Rn,k property.

Keywords

46 E 4046 G 10Space of Bochner integrable functionsThe Radon-Nikodým propertythe Rn,k property
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 74 - 77
Copyright
Copyright © Canadian Mathematical Society 1989

References

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4. S, T. S.. R. K. Rao, Roy, A. K. and K. Sundaresan, Intersection properties of balls in tensor products of some Banach spaces, to appear in Mathematica Scandinavica.Google Scholar