Abstract
Let S be an abelian * - semigroup in double-struck Q signk. We give a sufficient condition for every positive definite function on S to have a unique representing measure on the dual semigroup of 5 (i. e. S is perfect). To characterize perfectness for any abelian * - semigroup is a challenging, but not yet generally solved problem. In this paper, we characterize the structure of involutions on an abelian * - semigroup which is a subset of double-struck Q signk, and show that any conelike * - semigroups in double-struck Q signk are perfect.
Original language | English |
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Pages (from-to) | 155-167 |
Number of pages | 13 |
Journal | Mathematische Nachrichten |
Volume | 216 |
DOIs | |
Publication status | Published - 2000 |
Externally published | Yes |
Keywords
- * - semigroup
- Conelike
- Moment
- Perfect
- Positive definite
ASJC Scopus subject areas
- Mathematics(all)