GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS

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LASHKARIZADEH BAMI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Sciences, Islamic Republic of Iran Year:2000 | Volume:11 | Issue:3 Page(s): 245-252

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Information Journal Paper

Title

GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS

Author(s)

LASHKARIZADEH BAMI M. | Issue Writer Certificate

Keywords

LOCALLY COMPACT SEMIGROUPS

POSITIVE DEFINITE FUNCTIONS

H*H*-ALGEBRAS

SPECTRAL MEASURES

Abstract

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.

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APA: Copy

LASHKARIZADEH BAMI, M.. (2000). GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, 11(3), 245-252. SID. https://sid.ir/paper/529829/en

Vancouver: Copy

LASHKARIZADEH BAMI M.. GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS. JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN[Internet]. 2000;11(3):245-252. Available from: https://sid.ir/paper/529829/en

IEEE: Copy

M. LASHKARIZADEH BAMI, “GENERALIZED POSITIVE DEFINITE FUNCTIONS AND COMPLETELY MONOTONE FUNCTIONS ON FOUNDATION SEMIGROUPS,” JOURNAL OF SCIENCES ISLAMIC REPUBLIC OF IRAN, vol. 11, no. 3, pp. 245–252, 2000, [Online]. Available: https://sid.ir/paper/529829/en

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