RYBAKOVS THEOREM IN FRECHET SPACES AND COMPLETENESS OF L-1-SPACES

Authors
RICKER WJ
Citation
Wj. Ricker, RYBAKOVS THEOREM IN FRECHET SPACES AND COMPLETENESS OF L-1-SPACES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 64, 1998, pp. 247-252
Citations number
9
Categorie Soggetti
Mathematics,"Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
64
Year of publication
1998
Part
2
Pages
247 - 252
Database
ISI
SICI code
0263-6115(1998)64:<247:RTIFSA>2.0.ZU;2-T
Abstract
We provide a simple and direct proof of the completeness of the L-1-sp ace of any vector measure taking its values in the class of Frechet sp aces which do not contain a copy of the sequence space omega.