University of Tehran
Journal of Sciences, Islamic Republic of Iran
10161104
17
2
2006
06
01
Decomposition of H*Algebra Valued Negative Definite Functions on Topological *Semigroups

31734
EN
Journal Article
1970
01
01
In the present paper, among other results, a decomposition formula is given for the wbounded continuous negative definite functions of a topological *semigroup S with a weight function w into a proper H*algebra A in terms of wbounded continuous positive definite Avalued functions on S. A generalization of a wellknown result of K. Harzallah is obtained. An earlier conjecture of the author is also established.
https://jsciences.ut.ac.ir/article_31734_05ae1dedffc47295f5bc8d3c5b63855d.pdf