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Journal of the Australian Mathematical Society - Series A
Vol. 64 Part 2 (1998)

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

W. J. Ricker
School of Mathematics
University of New South Wales
Sydney, NSW 2052
Australia

Abstract:

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 $\o$.

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© Copyright 1998, Australian Mathematical Society
TeXAdel Scientific Publishing
1998-09-18
TeXAdel Scientific Publishing
1998-09-18