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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، 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.
آمار
تعداد مشاهده مقاله: 1,057
تعداد دریافت فایل اصل مقاله: 1,340