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Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups

Journal of Sciences, Islamic Republic of Iran
مقاله 10، دوره 17، شماره 2، 2006    اصل مقاله (244.24 K)
چکیده
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.
آمار
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