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Rybakov's theorem in Fréchet spaces and completeness of L1-spaces

Part of: Set functions, measures and integrals with values in abstract spaces

Published online by Cambridge University Press:  09 April 2009

W. J. Ricker
W. J. Ricker
Affiliation:
School of Mathematics University of New South WalesSydney, NSW 2052Australia
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Abstract

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We provide a simple and direct proof of the completeness of the L1-space of any vector measure taking its values in the class of Fréchet spaces which do not contain a copy of the sequence space ω.

MSC classification

Secondary: 28B05: Vector-valued set functions, measures and integrals
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 64 , Issue 2 , April 1998 , pp. 247 - 252
Copyright
Copyright © Australian Mathematical Society 1998

References

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