- P-ISSN1226-0657
- E-ISSN2287-6081
- KCI
ISSN : 1226-0657
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6권 1호
초록
Abstract
Let <TEX>$K_{\alpha}(G)$</TEX> (resp. <TEX>$K_s(G)$</TEX>) be the abelian (resp. symmetric) Kac algebra for a locally compact group G. We show that there exists a one-to-one correspondence between the subgroups of G and the sub-Kac algebras of <TEX>$K_{\alpha}(G)$</TEX> (resp. <TEX>$K_s(G)$</TEX>). Moreover we obtain similar correspondences between the subgroups of G and the reduced Kac algebras of <TEX>$K_{\alpha}(G)$</TEX> (resp. <TEX>$K_s(G)$</TEX>).
초록
Abstract
The purpose of this paper is to show that by the divisibility of a direct injective module, we obtain some results with respect to a direct injective module.
초록
Abstract
We introduce the notion of the <TEX>$\omega$</TEX>-derived set and <TEX>$\omega$</TEX>-dense, and investigate some of their properties.
초록
Abstract
In this paper, we investigate the properties of the Dunford-Schwartz integral (the integral with respect to a finitely additive measure). Though it is not equivalent to the cylinder integral, we can show that a cylinder probability v on (H, C) can be extend as a finitely additive probability measure <TEX>$\hat{v}$</TEX> on a field <TEX>$\hat{C}{\;}{\supset}{\;}C$</TEX> which is equivalent to the Dunford-Schwartz integral on (<TEX>$H,{\;}\hat{C},{\;}\hat{v}$</TEX>).
초록
Abstract
In this paper, we show that the existence of the solutions to the variational-type inequalities for set-valued mappings on normed linear spaces using Fan's section theorem.
초록
Abstract
We obtain a generalization of Behera and Panda's result on nonlinear scalar case to the vector version.
초록
Abstract
The concept of pseudoLindelof spaces is introduced. It is shown that the followings are equivalent: (a) for any two disjoint zero-sets in X, at least one of them is Lindelof, (b) <TEX><TEX>$\mid$</TEX>vX{\;}-{\;}X<TEX>$\mid$</TEX>{\leq}{\;}1$</TEX>, and (c) for any space T with <TEX>$X{\;}{\subseteq}{\;}T$</TEX>, there is an embedding <TEX>$f{\;}:{\;}vX{\;}{\rightarrow}{\;}vT$</TEX> such that f(x) = x for all <TEX>$x{\;}{\in}{\;}X$</TEX> and that if <TEX>$X{\;}{\times}{\;}Y$</TEX> is a z-embedded pseudoLindelof subspace of <TEX>$vX{\;}{\times}{\;}vY,{\;}then{\;}v(X{\;}{\times}{\;}Y){\;}={\;}vX{\;}{\times}{\;}vY$</TEX>.
초록
Abstract
In this note we give a characterization on weak convergence of bounded linear functionals in <TEX>$\sigma$</TEX>-complete abstract M spaces.