Decomposition of H*-Algebra Valued Negative Definite Functions on Topological *-Semigroups
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Abstract:
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.
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Journal title
volume 17 issue 2
pages -
publication date 2006-06-01
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