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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 34, Issue 4 - Nov 1997
Volume 34, Issue 3 - Aug 1997
Volume 34, Issue 2 - May 1997
Volume 34, Issue 1 - Feb 1997
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1
Existence of subpolynomial algebras in
Lee, Hyang-Sook ; Shin, Dong-Sun ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 1~8
Abstract
Let G be a finiteg oroup. We denote BG a classifying space of G, which a contractible universal principal G bundle EG. The stable type of BG does not determine G up to isomorphism. A simple example [due to N. Minami]is given by $Q_{4p} \times Z/2$ and $D_{2p} \times Z/4$ where ps is an odd prime, $Q_{4p} is the generalized quarternion group of order 4p and $D_{2p}$ is the dihedral group of order 2p. However the paper [6] gives us a necessary and sufficient condition for $BG_1$ and $BG_2$ to be stably equivalent localized et pp. The local stable type of BG depends on the conjegacy classes of homomorphisms from the p-groups Q into G. This classification theorem simplifies if G has a normal sylow p-subgroup. Then the stable homotopy type depends on the Weyl group of the sylow p-subgroup.
2
Totally umbilic lorentzian surfaces embedded in
Hong, Seong-Kowan ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 9~17
Abstract
Define $\bar{g}{\upsilon, \omega) = -\upsilon_1\omega_1 + \cdots + \upsilon_n\omega_n$ for $\upsilon, \omega in R^n$. $R^n$ together with this metric is called the Lorentzian n-space, denoted by $L^n$, and $R^n$ together with the Euclidean metric is called the Euclidean n-space, denoted by $E^n$. A Lorentzian surface in $L^n$ means an orientable connected 2-dimensional Lorentzian submanifold of $L^n$ equipped with the induced Lorentzian metrix g from $\bar{g}$.
3
Operators on a finite dimensional space
Ko, Eungil ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 19~28
Abstract
Let $H$ and $K$ be separable, complex Hilbert spaces and $L(H, K)$ denote the space of all linear, bounded operators from $H$ to $K$. If $H = K$, we write $L(H)$ in place of $L(H, K)$. An operator $T$ in $L(H)$ is called hyponormal if $TT^* \leq T^*T$, or equivalently, if $\left\
T^*h \right\
\leq \left\
Th \right\
$ for each h in $H$. In [Pu], M. Putinar constructed a universal functional model for hyponormal operators.
4
On certain analytic functions with positive real part
Draghici, Eugen ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 29~34
Abstract
Let $U = {z \in C :
z
< 1}$ be the open unit disc in the complex plane and let N be the class of all analytic functions p in U with p(0) = 1.
5
On the cohen-macaulayness of the associated graded ring of an equimultiple ideal
Kim, Mee-Kyoung ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 35~42
Abstract
Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.
6
An error of the method of vanishing viscosity of the first-order hamilton-jacobi equations
Hong, Bum-Il ; Ha, Sung-Nam ; Park, Jeongwhan ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 43~49
Abstract
In this paper, we study an error of vanishing viscosity method for the first-order Hamilton-Jacobi equations.
7
Linear operators that strongly preserves the sign-central matrices
Lee, G.Y. ; Lee, S.G. ; S.Z. Song ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 51~61
Abstract
Let $M_{m,n}$ be the set of all $m \times n$ real matrices. For a matrix $A = [a_{ij}] \in M_{m,n}$, the sign of $a_{ij}$ is defined by $$ sgn a_{ij} = { 0 if a_{ij} = 0, { +1 if a_{ij} > 0, { -1 if a_{ij} < 0. $$
8
On
-semiclassical orthogonal polynomials
K. H. Kwon ; Lee, D. W. ; Park, S. B. ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 63~79
Abstract
Consider an oparator equation of the form : $$ (1.1) H[y](x) = \alpha(x)\delta^2 y(x) + \beta(x)\delta y(x) = \lambda_n y(x), $$ where $\alphs(x)$ and $\beta(x)$ are polynomials of degree at most two and one respectively, $\lambda_n$ is the eigenvalue parameter, and $\delta$ is Hahn's operator $$ (1.2) \delta f(x) = \frac{(q - 1)x + \omega}{f(qx + \omega) - f(x)}, $$ for real constants $q(\neq \pm 1)$ and $\omega$.
9
On the existence of mandatory representation designs
Kim, Jeongjin ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 81~91
Abstract
Let X be a finite set of elements that we shall call points. Let I be a set called an indexing set. A mapping $B : I \longrightarrow P(X)$ is called a family of blocks on X. For each $i \in I, B(i)$ is also written as $B_i$. We always assume $
B_i
\geq 2$ for each $i \in I$.
10
Convergence of approximate sequences for compositions of nonexpansive mappings in banach spaces
Jung, Jong-Soo ; Kim, Tae-Hwa ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 93~102
Abstract
Let C be a nonempty closed convex subset of a Banach space E and let $T_1, \cdots, T_N$ be nonexpansive mappings from C into itself (recall that a mapping $T : C \longrightarrow C$ is nonexpansive if $\left\
Tx - Ty \right\
\leq \left\
x - y \right\
$ for all $x, y \in C$). We consider the fixed point problem for nonexpansive mappings : find a common fixed point, i.e., find a point in $\cap_{i=1}^N Fix(T_i)$, where $Fix(T_i) := {x \in C : x = T_i x}$ denotes the set of fixed points of $T_i$.
11
Asymptotic dirichlet problem for schrodinger operator and rough isometry
Yoon, Jaihan ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 103~114
Abstract
The asymptotic Dirichlet problem for harmonic functions on a noncompact complete Riemannian manifold has a long history. It is to find the harmonic function satisfying the given Dirichlet boundary condition at infinity. By now, it is well understood [A, AS, Ch, S], when M is a Cartan-Hadamard manifold with sectional curvature $-b^2 \leq K_M \leq -a^2 < 0$. (By a Cartan-Hadamard manifold, we mean a complete simply connected manifold of non-positive sectional curvature.)
12
A metric induced by a norm on normed almost linear spaces
Im, Sung-Mo ; Lee, Sang-Han ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 115~125
Abstract
In [3,4,5], G. Godini introduced a normed almost linear space(nals), generalizing the concept of a normed linear space. In contrast with the case of a normed linear space, tha norm of a nals $(X,
\cdot
)$ does not generate a metric on X $(for x \in X \backslash V_X we have
x - x
\neq 0)$.
13
Uniqueness of Bases for almost linear spaces
Im, Sung-Mo ; Lee, Sang-Han ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 127~133
Abstract
O. Mayer[9] introduced an almost linear space (als), a generalization of a linear space. The notion of a basis for an als was introduced by G. Godini[3]. Later, man properties of an als established by a number of authors. In this paper, we prove that the cardinality of bases for an als is unique. All spaces involved in this paper are over the real field $R$. Let us denote by $R_+$ the set ${\lambda \in R : \lambda \geq 0}$. We recall some definitions used in this paper.
14
Regularity of solutions to Helmholtz-type problems with absorbing boundary conditions in nonsmooth domains
Kim, Jinsoo ; Dongwoo Sheen ;
Bulletin of the Korean Mathematical Society, volume 34, issue 1, 1997, Pages 135~146
Abstract
For the numerical simulation of wave phenomena either in unbounded domains that it is not feasible to compute solutions on the entire region, it is needed to truncate the original domains to manageable bounded domains whose geometries are simple but usually nonsmooth. On the artificial boundaries thus created, absorbing boundary conditions are taken so that the significant part of waves arriving at the artificial boundaries can be transmitted [5,10,11,16,17,26]$.