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Note on support-concentrated Borel measures

Published online by Cambridge University Press:  09 April 2009

Wolfgang Adamski
Wolfgang Adamski
Affiliation:
Mathematisches Institut der Universität MünchenTheresienstrasse 39 D-8000 München 2 West, Germany
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Abstract

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Every τ-smooth Borel measure is support-concentrated. We shall prove in this note that the converse of this statement is not true, in general. Furthermore, we shall give some conditions assuring that a support-concentrated Borel measure be τ-smooth.

1980 Mathematics subject classification (Amer. Math. Soc.): 28 C 15.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 3 , May 1980 , pp. 310 - 315
Copyright
Copyright © Australian Mathematical Society 1980

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