Perfectness of conelike * - Semigroups in double-struck Q signk

Katsuyoshi Nishio, Nobuhisa Sakakibara

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)155-167
ページ数13
ジャーナルMathematische Nachrichten
216
DOI
出版ステータスPublished - 2000
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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