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Cambridge University Press (CUP), Journal of the Australian Mathematical Society, 02(64), p. 247

DOI: 10.1017/s1446788700001737

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

Journal article published in 1998 by W. J. Ricker
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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 ω.