논문KCI 등재
The Uniform Convergence of a Sequence of Weighted Bounded Exponentially Convex Functions on Foundation Semigroups
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Abstract
In the present paper we shall prove that on a foundation ¤-semigroup S with an identity and with a locally bounded Borel measurable weight function !, the pointwise convergence and the uniform convergence of a sequence of !-bounded exponentially convex functions on S which are also continuous at the identity are equivalent.
참고문헌 (6)
- "Algebra of measures on locally compact semigroups III", 4, pp.685~695 (1972)
- "Measure algebras on semigroups", pp.221~252 (1990)
- "Representation of foundation semigroups and their algebras", 37, pp.29~47 (1985)
- "Bochner’s theorem and the Housdorff moment theorem onfoundation topological semigroups", 37, pp.785~809 (1985)
- "Convergence of exponmentially convex functions on foundationsemigroups Buletin of Fac. Sc.", pp.29~35 (1994), Al-Azhar Univ.
- G. L. G. Sleijpen, "Convolution measure algebras on semigroups" (1997)
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