통합 검색 | Korea Science

ANSARI-PIRI, E.
- 호남수학학술지
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- 제23권1호
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- pp.59-66
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- 2001
A class of topological algebras, which we call it a fundamental one, has already been introduced to generalize the locally bounded and locally convex algebras. To prove the basic theorems on fundamental algebras, the first successful step is the new version of the Cohen factorization theorem. Here we recall it and prove some new results on fundamental topological algebras.
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Ali, Hoda A.
- Kyungpook Mathematical Journal
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- 제46권3호
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- pp.337-343
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- 2006
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 ${\omega}$, the pointwise convergence and the uniform convergence of a sequence of ${\omega}$-bounded exponentially convex functions on S which are also continuous at the identity are equivalent.
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Cho, Myung-Hyun;Kim, Jun-Hui
- 대한수학회논문집
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- 제16권2호
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- pp.277-285
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- 2001
The purpose of this paper is to give a proof of a generalized convex-valued selection theorem which is given by weakening a Banach space to a completely metrizable locally convex topological vector space, i.e., a Frechet space. We also develop the properties of upper semi-continuous singlevalued mapping to those of upper semi-continuous multivalued mappings. These properties wil be applied in our further consideraations of selection theorems.
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