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GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 12، دوره 11، شماره 3، آذر 2000 اصل مقاله (182.57 K) | ||
چکیده | ||
A general notion of completely monotone functionals on an ordered Banach algebra B into a proper H*-algebra A with an integral representation for such functionals is given. As an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. A generalized version of Bochner’s theorem on foundation semigroups is also obtained. | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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