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Measures in banach spaces are determined by their values on balls

Part of: Set functions and measures on spaces with additional structure

Published online by Cambridge University Press:  26 February 2010

D. Preiss  and
J. Tišer
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.

MSC classification

Secondary: 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
Type
Research Article
Information
Mathematika , Volume 38 , Issue 2 , December 1991 , pp. 391 - 397
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), 157–160.CrossRefGoogle Scholar
2.Dinger, U.. Measure determining classes of balls in Banach spaces. Math. Scand., 58 (1986), 23–34.CrossRefGoogle Scholar
3.Hoffmann-Jørgensen, J.. Measures which agree on balls. Math. Scand., 58 (1975), 23–34.Google Scholar