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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 10, Issue 4 - Oct 1995
Volume 10, Issue 3 - Jul 1995
Volume 10, Issue 2 - Apr 1995
Volume 10, Issue 1 - Jan 1995
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1
ON CANCELLATION IDEALS
Choi, Chang-Woo ; Park, Young-Soo ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 783~787
Abstract
In this paper we characterize cancellation ideals in terms of multiplication ideals. Especially, we find a condition for an ideal generated by three elements to be a cancellation ideal.
2
SOME PROPERTIES OF VERMA MODULES OVER AFFINE LIE ALGEBRAS
Kim, Wan-Soon ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 789~795
Abstract
For nonintegrable weight
, some weight multiplicities of the irreducible module
over
affine Lie algebras are expressed in terms of the colored partition functions. Also we find the multiplicity of
in ther Verma module
for any affine Lie algebras.
3
ON THE SINGULAR VALUES OF THE QUOTIENT OF DRINFELD DISCRIMINANT FUCTIONS
Lee, Seung-Jae ; Bae, Sung-Han ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 797~809
Abstract
This paper is concerned with the prime factorization of the quotient of Drinfeld discriminant functions in an analytic way.
4
GENERALIZATIONS OF THE QUASI-INJECTIVE MODULE
Han, Chang-Woo ; Park, Su-Jeong ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 811~813
Abstract
The purpose of this paper is to prove the divisibility of a direct injective module and every closed submodule of a
-injective module M is a direct summand of M.
5
WEAKLY POSITIVE IMPLICATIVE BCI-ALGEBRAS
Wei, Shi-Ming ; Jun, Young-Bae ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 815~821
Abstract
We introduce the concept of weakly positive implicative ideals in BCI-algebras and give some characterization of weakly positive implicative BCI-algebras and weakly positive implicative ideals.
6
PERMUTAON POLYNOMIALS OF THE TYPE 1+frac{q-1}{m}} + ax$
Kim, Seog-Young ; Lee, June-Bok ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 823~829
Abstract
In this paper, we prove that $x^{1+\frac{q-1}{5}} + ax (a \neq 0)$ is not a permutation polynomial over $F_{q^r} (r \geq 2)$ and we show some properties of $x^{1+\frac{q-1}{m}} + ax (a \neq 0)$ over $F_{q^r} (r \geq 2)$.
7
ON PERMUTATION GRAPHS OVER A GRAPH
Lee, Ja-Eun ; Sohn, Moo-Young ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 831~837
Abstract
In this paper, we introduce a permutation graph over a graph G as a generalization of both a graph bundle over G and a standard permutation graph, and study a characterization of a natural isomorphism and an automorphism of permutation graphs over a graph.
8
SEMISIMPLE ARTINIAN LOCALIZATIONS RELATED WITH V-RINGS
Rim, Seog-Hoon ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 839~847
Abstract
For the given torsion theory
, we study some equivalent conditions when the localized ring
be semisimple artinian (Theorem 4). Using this, if
is semisimple artinian ring, we study when does the given ring R become left V-ring\ulcorner
9
SINGULARITY OF A COEFFICIENT MATRIX
Lee, Joon-Sook ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 849~854
Abstract
The interpolation of scattered data with radial basis functions is knwon for its good fitting. But if data get large, the coefficient matrix becomes almost singular. We introduce different knots and nodes to improve condition number of coefficient matrix. The singulaity of new coefficient matrix is investigated here.
10
REFLEXIVITY OF NORMED ALMOST LINEAR SPACES
Lee, Sang-Han ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 855~866
Abstract
We prove that if a nals X is reflexive, then
. We prove also that if an als X has a finite basis, then
if and only if X is reflexive.
11
LINEARLY INVARIANT FUNCTIONS
Song, Tai-Sung ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 867~874
Abstract
Linear invariance is closely related to the concept of uniform local univalence. We give a geometric proof that a holomorphic locally univalent function defined on the open unit disk is linearly invariant if and only if it is uniformly locally univalent.
12
Extreme spirallike products
Lee, Suk-Young ; David Oates ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 875~880
Abstract
Let
denote the class of the Spirallike functions of order $\alpha, 0 <
\alpha
< \frac{\pi}{2}$ Let $\Pi_N$ denote the subset of
consisting of all products
where $m = 1 + e^{-2i\alpha},
u_j
= 1, t_j > 0$ for $j = 1,
and
may be found which lie in
for some
. We are let to conjecture that all exreme points of $S_p(\alpha)$ lie in
for somer
and that every such function is an extreme point.
13
On certain maximal operators being $A_1$ weights
Suh, Choon-Serk ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 881~887
Abstract
Let f be a measurable function on the unit ball B in $C^n$, then we define a maximal function $M_p(f), 1 \leq p < \infty$, by $$ M_p(f)(\zeta ) = \sup_{\delta > 0}(\frac{1}{\sigma(\beta(\zeta, \delta))} \int_{T(\beta(\zeta, \delta))}
f(z)
^p \frac{d\nu(z)}{(1-
z
^n})^{1/p} $$ where $\sigma$ denotes the surface area measure on S, the boundary of B, and $T(\beta(\zeta, \delta))$ denotes the tent over the ball $\beta(\zeta, \delta)$. We prove that the maximal operator $M_p$ belongs to the Muckenhoupt class $A_1$.
14
ON STRUCTURES OF CONTRACTIONS IN DUAL OPERATOR ALGEBRAS
Kim, Myung-Jae ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 899~906
Abstract
We discuss certain structure theorems in the class A which is closely related to the study of the problems of solving systems concerning the predual of a dual operator algebra generated by a contraction on a separable infinite dimensional complex Hilbert space.
15
ON THE UNICELLULARITY OF AN OPERATOR
Joo Ho Kang ; Young Soo Jo ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 907~916
Abstract
The unilateral weighted shift operator
with the weighted sequence
is unicellular if $0 < r < 1$. In general, A + B is not unicellular even if A and B are unicellular. We will prove that
is unicellular if $0 < r < 1$.
16
INTERSECTIONS OF MAXIMAL FACES IN THE CONVEX SET OF POSITIVE LINEAR MAPS BETWEEN MATRIX ALGEBRAS
Kye, Seung-Hyeok ; Lee, Sa-Ge ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 917~924
Abstract
Let $P_I$ be the convex compact set of all unital positive linear maps between the
matrix algebra over the complex field. We find a necessary and sufficient condition for which two maximal faces of
intersect. In particular, we show that any pair of maximal faces of
has the nonempty intersection, whenever
.
17
ELEMENTARY PROOF OF THE NONEXISTENCE OF NODAL SOLUTIONS FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
Soo Hyun Bae ; Dae Hyeon Pahk ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 925~929
Abstract
Consider the problem $-div(
\bigtriangledown_u
^{p-2}\bigtriangledown_u) =
u
^{p^*-2}u + \lambda
u
^{q-2}u$ in B, u = 0 on $\partial B$; where
is a ball, $\lambda < 0, 1 < p < n$ and
is the critical Sobolev exponent. For given $\lambda > 0$, we show that there exists
such that any radial solutions to this problem have at most k noda curves when
.
18
EXISTENCE OF HOMOTOPIC HARMONIC MAPS INTO METRIC SPACE OF NONPOSITIVE CURVATURE
Jeon, Myung-Jin ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 931~941
Abstract
The definitions and techniques, which deals with homotopic harmonic maps from a compact Riemannian manifold into a compact metric space, developed by N. J. Korevaar and R. M. Schoen [7] can be applied to more general situations. In this paper, we prove that for a complicated domain, possibly noncompact Riemannian manifold with infinitely generated fundamental group, the existence of homotopic harmonic maps can be proved if the initial map is simple in some sense.
19
SOME CHARACTERIZATIONS OF SINGULAR COMPACTIFICATIONS
Park, Keun ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 943~947
Abstract
Assume that X is locally compact and Hausdorff. Then, we show that $\alpha X = sup {X \cup_f S(f)
f \in S^{\alpha}}$ for any compactification
of X if and only if for any 2-point compatification
of X with
, there exists a clopen subset A of
such that
and
. As a corollary, we obtain that if X is connected and locally connected, then $\alpha X = sup {X \cup_f S(f)
f \in S^{\alpha}}$ for any compactification
of X if and only if X is 1-complemented.
20
EQUIVARIANT ALGEBRAIC APPROXIMATIONS OF G MAPS
Suh, Dong-Youp ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 949~961
Abstract
Let f be a smooth G map from a nonsingular real algebraic G variety to an equivariant Grassmann variety. We use some G vector bundle theory to find a necessary and sufficient condition to approximate f by an entire rational G map. As an application we algebraically approximate a smooth G map between G spheres when G is an abelian group.
21
CENTRAL LIMIT THEOREMS FOR A VECTOR PROCESSES OF NON-LINEAR FUNCTIONALS OF GAUSSIAN SEQUENCES OF VECTORS
Jeon, Tae-Il ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 963~974
Abstract
We formulate central limit theorems for non-linear functionals of stationary Gaussian vector processes with long-range dependence.
22
A NOTE ON TRANSIENT SOLUTIONS FOR CONTINUOUS TIME MARKOV CHAINA
Shin, Yang-Woo ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 975~980
Abstract
We suggest an improvement of the algorithm in [2] for calculating the transient solutions for continuous time Markov chain with countable state space.
23
CONVERGENCE AND BREAKDOWN STUDY OF KRYLOV METHODS FOR NONSYMMETRIC LINEAR SYSTEMS
Yun, Jae-Heon ;
Communications of the Korean Mathematical Society, volume 10, issue 4, 1995, Pages 981~995
Abstract
This paper first establishes some conditions for preconditioner under which PGCR does not break down. Next, VPGCR algorithm whose preconditioners can be easily obtained is introduced and then its breakdown and convergence properties are discussed. Lastly, implementation details of VPGCR are described and then numerical results of VPGCR with a certain criterion guaranteeing no breakdown are compared with those of restarted GMRES.