Common Extensions of Semigroup-Valued Charges
β Scribed by R.M. Shortt; F. Wehrung
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 924 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Let G, H be groups. G is called an extension of H if there is an epimorphism u: G + H . The congruence Ker u is uniquely determined by the normal subgroups N = o-l( la). Thus we may say that G is an extension of H by N . Analogously a monoid S is called an extension of a monoid C if there is an epi
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
We itre concerned with existence of extensions of positive linear operators be-I t v w i i ordered vector spaces which take maximal possible values on a given set of \wit ors. We eatablish a criterion (Theorem) which partially generalizes a similar twiilt of [2] about positive additive set functions
We study weighted inequalities for vector valued extensions of the conditioned square function operator and of the maximal operators of matrix type in the case of regular martingales. As applications we obtain weighted inequalities for vectorvalued extensions of the HardyαLittlewood maximal operator
## Extensions of group-valued regular BOREL measures By SURJIT SINGH KHURANA of Iowa City (U.S.A.) (Eingegangen a.m 9. 1. 1979) In ([ill) a result is proved about the extension of regular BOREL measures. The main result is Theorem ([Ill, Theorem 10). Let X and Y be compact HAUSDORFF spaces, 9 : X