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On the extension of measures with values in partially ordered semigroups

✍ Scribed by Zdena Riečanová; Ivica Rosová

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
422 KB
Volume
106
Category
Article
ISSN
0025-584X

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✦ Synopsis

Clearly the sum as well as the maximum of two real numbers can be presented as a semigroup operation. So the measure with values in a partially ordered semigroup is a common generalization of additive or subadditive and maxitive measures (see Section 4). The extension of such measures we realize by the transfinite induction (see also [ 2 ] ) and we use a result of [l] for real valued functions.

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