권호 표지

Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society

  • Quarterly
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)

Aim & Scope

This journal endeavours to publish research of broad interests in pure and applied mathematics. Each year one volume is published, consisting of four issues (February, May, August, November 15, respectively).

http://acoms.jams.or.kr KSCI KCI

Volume 4 Issue 1

  1. Kim, Jupil 1
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    In this paper, we want to find some properties of subsystems of injective S-systems. Also we find a relationship between the regular semigroup S and the S-system M over S.
  2. Moon, Byung Soo 11
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    Let $E_n$ be the real ordered space of all $n{\times}n$ Hermitian Matrices and let T be a positive linear operator from $E_2$ to $E_3$. We prove in this paper that T is extreme if and only if T is unitarily equivalent to a map of the form $S_z$ for some $z{\in}C^2$ where $S_z$ is defined by $S_z(xx^*)=ww^*$, $w_i=x_iz_i$ for i = 1, 2 and $w_3=0$.
  3. Lim, Jong Sul;Kim, Won Kyu 39
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    In this note, we shall prove a new variational inequality in non-compact sets and as an application, we prove a generalization of the Schauder-Tychonoff fixed point theorem.
  4. Ryu, K.S. 45
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    Wiener measure $m({\lambda}B)$ can behave arbitrarily badly as a function of ${\lambda}$ for Wiener measurable sets B. We show however that $m({\lambda}B)$ is Borel measurable with respect to ${\lambda}$ for any Borel subset B of $C_0$[0, 1].
  5. Kim, Gwang-Hui 49
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    In the paper of Johnson[4], the results about continuity of homomorphisms were applied to those of generalized homomorphisms. This paper presents the results helpful to prove the continuity of generalized homomorphisms on Banach algebra and the continuity of generalized homomorphisms on it.
  6. Lee, Jae Hak 55
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    We consider perturbation problems and Lagrangians for convex set function optimization problems. In particular, we prove that the Lagrangian $L({\Omega},y)$ is a convex set function in ${\Omega}$ for each y if the perturbation function is convex.
  7. Lee, Yang-Hi 61
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    By $C^{(1)}$[0, 1] we denote the Banach algebra of complex valued continuously differentiable functions on [0, 1] with norm given by $${\parallel}f{\parallel}=\sup_{x{\in}[0,1]}({\mid}f(x){\mid}+{\mid}f^{\prime}(x){\mid})\text{ for }f{\in}C^{(1)}$$. By A we denote the sub algebra of $C^{(1)}$ defined by $$A=\{f{\in}C^{(1)}:f(0)=f(1)\text{ and }f^{\prime}(0)=f^{\prime}(1)\}$$. By an isometry of A we mean a norm-preserving linear map of A onto itself. The purpose of this article is to describe the isometries of A. More precisely, we show tht any isometry of A is induced by a point map of the interval [0, 1] onto itself.
  8. Park, Jae Myung 71
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    In this paper, we study the Bourgain property for real-valued functions, and give conditions for a family of real-valued functions to have the Bourgain property.
  9. Lee, Seok Jong;Lee, Seung On;Lee, Eun Pyo 75
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    In this paper, we introduce the concept of the fibrewise convergence space as a generalization of both the notion of fibrewise topology and that of convergence. Furthermore we observe the adjoint ness and Galois correspondence between the category of fibrewise topological spaces and the category of fibrewise convergence spaces. Finally we investigate the limit and colimit structures in these categories.
  10. Bae, S.;Hahn, S. 85
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    In this article we introduce the readers to the theory of Carlitz modules which are rank one Drinfeld modules. The main point is the striking similarities between cyclotomic number fields and Carlitz modules.
  11. Jun, Kil-Wong;Park, Dal-Won 91
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    This paper studies the structure and continuity of derivations of the Banach algebra $C^n(I)$ of n times continuously differentiable functions on an interval I into Banach $C^n(I)$-modules.
  12. Lee, Dong-Soo;Lee, Hyun-Bok 99
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    Let R be a commutative ring with identity. A ring is said to be a regular multiplication ring if $A{\subseteq}B$, where A and B are ideals of R with B regular, implies that there exists an ideal C of R such that A = BC. We characterize such rings and study their properties.
  13. Chu, Chin-Ku;Choi, Sung Kyu 103
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    Some properties of a path space and the fundamental group ${\sigma}(X,x_0,G)$ of a topological transformation group (X, G, ${\pi}$) are described. It is shown that ${\sigma}(X,x_0,H)$ is a normal subgroup of ${\sigma}(X,x_0,G)$ if H is a normal subgroup of G ; Let (X, G, ${\pi}$) be a transformation group with the open action property. If every identification map $p:{\Sigma}(X,x,G)\;{\longrightarrow}\;{\sigma}(X,x,G)$ is open for each $x{\in}X$, then ${\lambda}$ induces a homeomorphism between the fundamental groups ${\sigma}(X,x_0,G)$ and ${\sigma}(X,y_0,G)$ where ${\lambda}$ is a path from $x_0$ to $y_0$ in X ; The space ${\sigma}(X,x_0,G)$ is an H-space if the identification map $p:{\Sigma}(X,x_0,G)\;{\longrightarrow}\;{\sigma}(X,x_0,G)$ is open in a topological transformation group (X, G, ${\pi}$).
  14. Chang, Hyun-Ho 115
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    In this paper we obtain the asymptotic behavior of solutions of the perturbed system x' = (A(t) + B(t))x of x' = A(t)x by using the Floquet theorem.
  15. Rim, Dong Il 121
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    In this paper, we show that uniform integrability is equivalent to convergence to a ${\mu}$-integrable function f in $L_1$ for ${\mu}$-integrable functions in the sense of the integral defined by Lewis.