%0 Journal Article %T Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups %J Journal of Sciences, Islamic Republic of Iran %I University of Tehran %Z 1016-1104 %D 2006 %\ 06/01/2006 %V 17 %N 2 %P - %! Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups %R %X In the present paper, among other results, a decomposition formula is given for the w-bounded continuous negative definite functions of a topological *-semigroup S with a weight function w into a proper H*-algebra A in terms of w-bounded continuous positive definite A-valued functions on S. A generalization of a well-known result of K. Harzallah is obtained. An earlier conjecture of the author is also established. %U https://jsciences.ut.ac.ir/article_31734_05ae1dedffc47295f5bc8d3c5b63855d.pdf