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

Katsuyoshi Nishio, Nobuhisa Sakakibara

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)155-167
Number of pages13
JournalMathematische Nachrichten
Volume216
DOIs
Publication statusPublished - 2000

Keywords

  • * - semigroup
  • Conelike
  • Moment
  • Perfect
  • Positive definite

ASJC Scopus subject areas

  • Mathematics(all)

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