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Measures in banach spaces are determined by their values on balls

Published online by Cambridge University Press:  26 February 2010

D. Preiss
Affiliation:
Professor D. Preiss, Department of Mathematics, University College London, Gower Street, London WC1E 6BT
J. Tišer
Affiliation:
Dr. J. Tišer, Katedra Matematiky FEL ČVUT, Suchbàtarova 2, 16627 Praha 6, Czechoslovakia.
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Abstract

The statement from the title is proved.

Type
Research Article
Copyright
Copyright © University College London 1991

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References

1.Davies, R. O.. Measures not approximable or not specifiable by means of balls. Mathematika, 18 (1971), 157160.CrossRefGoogle Scholar
2.Dinger, U.. Measure determining classes of balls in Banach spaces. Math. Scand., 58 (1986), 2334.CrossRefGoogle Scholar
3.Hoffmann-Jørgensen, J.. Measures which agree on balls. Math. Scand., 58 (1975), 2334.Google Scholar