TY - JOUR ID - 31734 TI - Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 2006 PY - 2006 VL - 17 IS - 2 SP - EP - DO - N2 - 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. UR - https://jsciences.ut.ac.ir/article_31734.html L1 - https://jsciences.ut.ac.ir/article_31734_05ae1dedffc47295f5bc8d3c5b63855d.pdf ER -