HENSGEN, W (1994) AN EXAMPLE CONCERNING THE YOSIDA-HEWITT DECOMPOSITION OF FINITELY ADDITIVE MEASURES. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 121 (2). pp. 641-642. ISSN 0002-9939,
Full text not available from this repository.Abstract
Let lambda be Lebesgue measure on the Lebegue sigma-algebra L of I := ]0, 1[. The author gives an example of a purely finitely additive measure phi: L --> [0, 1] vanishing on lambda-null sets such that integral f d phi = integral f d lambda for every bounded continuous function f on I (f is-an-element-of C(b)(I)). Consequently, lambda - phi is-an-element-of L(infinity)(lambda)' annihilates C(b)(I) and is not purely finitely additive, contrary to an assertion of Yoshida and Hewitt.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; FINITELY ADDITIVE MEASURES; YOSIDA-HEWITT DECOMPOSITION |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:40 |
| URI: | https://pred.uni-regensburg.de/id/eprint/53264 |
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