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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 38, Issue 3 - Aug 2001
Volume 38, Issue 2 - May 2001
Volume 38, Issue 1 - Feb 2001
Volume 38, Issue 4 - Jan 2001
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1
PRIME RADICALS OF FORMAL POWER SERIES RINGS
Huh, Chan ; Kim, Hong-Kee ; Lee, Dong-Su ; Lee, Yang ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 623~633
Abstract
In this note we study the prime radicals of formal power series rings, and the shapes of them under the condition that the prime radical is nilpotent. Furthermore we observe the condition structurally, adding related examples to the situations that occur naturally in the process.
2
TOPOLOGICAL CHARACTERIZATIONS OF CERTAIN LIMIT POINTS FOR MOBIUS GROUPS
Hong, Sung-Bok ; Kim, Han-Doo ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 635~641
Abstract
A limit point p of a Mobius group acting on
is called a concentration point if for every sufficiently small connected open neighborhood of p, the set of translates contains a local basis for the topology of p. For the case of two generator Schottky groups acting on
, we give characterizations for several different kinds of limit points.
3
POSITIVE COEXISTENCE OF STEADY STATES FOR COMPETITIVE INTERACTING SYSTEM WITH SELF-DIFFUSION PRESSURES
Ryu, Ki-Mun ; Ahn, In-Kyung ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 643~655
Abstract
We discuss the existence of positive solutions to a certain nonlinear elliptic system representing a competition interaction with self-diffusion. The method used here is a fixed point index theory in a positive cone. We give a sufficient condition for the existence of positive solutions.
4
A NOTE ON CLARKSONS INEQUALITIES
Cho, Chong-Man ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 657~662
Abstract
It is proved that if for each n,
Clarkson inequality holds in each Banach space X
then the (t, t’) Clarkson inequality holds in ($\sum^\infty_{n=1}\; X_n)_r, \;the \ell^r-sum \;of\; X_n’s,\; where\; 1\leqr<\infty,\; t=min{p, r, r’} \;and \;p = \;inf{p_n}.$ The (p, p’) Clarkson inequality is preserved by quotient maps and a new proof of a Takahashi-Kato theorem stating that the (p, p’) Clarkson inequality holds in a Banach space X if and only if it holds in its dual space
is given.n.
5
M-IDEALS AND PROPERTY SU
Cho, Chong-Man ; Roh, Woo-Suk ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 663~668
Abstract
X and Y are Banach spaces for which K(X, Y), the space of compact operators from X to Y, is an M-ideal in L(X, Y), the space of bounded linear operators form X to Y. If Z is a closed subspace of Y such that L(X, Z) has property SU in L(X, Y) and d(T, K(X, Z)) = d(T, K(X, Y)) for all
, then K(X, Z) is an M-ideal in L(X, Z) if and only if it has property SU is L(X, Z).
6
FIXED POINT THEORY FOR MAPS HAVING CONVEXLY TOTALLY BOUNDED RANGES
Agarwal, Ravi-P. ; O'regan, Donal ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 669~677
Abstract
Three new fixed point theorems are presented for the set valued maps of Idzik. Moreover a continuation theorem for such maps is also given.
7
REMARKS ON THE STABILITY OF ADDITIVE FUNCTIONAL EQUATION
Jun, Kil-Woung ; Kim, Hark-Mahn ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 679~687
Abstract
In this paper, using an idea from the direct method of Hyers, we give the conditions in order for a linear mapping near an approximately additive mapping to exist.
8
PROJECTIVE SYSTEMS WHOSE SUPPORTS CONSIST OF THE UNION OF THREE LINEAR SUBSPACES
Kato, Takao ; Yamada, Miyako ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 689~699
Abstract
We discuss the class of projective systems whose supports are the complement of the union of three linear subspaces in general position. We proves these codes are uniquely dtermined up to equivalence by their weight enumerators. Our result is a generalization of the result given in [1].
9
GENERALIZATIONS OF THE STRENGTHENED HARDY INEQUALITY
Kim, Young-Ho ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 701~708
Abstract
In this article, using the properties of power mean, some new generalizations of the strengthened Hardy's inequalities are given.
10
DERIVATIONS ON PRIME RINGS AND BANACH ALGEBRAS
Jun, Kil-Woung ; Kim, Hark-Mahn ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 709~718
Abstract
In this paper we show that if D and G are continuous linear Jordan derivations on a Banach algebra A satisfying [D(x), x]x - x[G(x),x]
rad(A)for all
A, then both D and G map A into rad(A).
11
LOCALIZATION OF THE COHOMOLOGY OF THE HOMOTOPY ORBIT SPACE OF p-COMPACT GROUPS
Lee, Hyang-Sook ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 719~725
Abstract
For a p-compact group G, if G-space X is of finite S-type then we show that the localization
is zero. By using this result, we prove the localization theorem for the pair G-space (X, A)
12
Mashhad University, Department of Mathematics;
Yassi, M. ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 727~733
Abstract
Let A be a commutative ring with nonzero identity and let M be an A-module. In this note we show that if
both M-cosequence such that
lower triangular matrix H over A, then the map
induced by multiplication by ｜H｜ is surjective.
13
VOLUME PRODUCT FOR PEDAL BODIES
Chai, Y.D. ; Kim, Yong-Il ; Lee, Doo-Hann ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 735~740
Abstract
Let K be a convex body of constant relative breadth and let
be its polar dual with respect to the Euclidean unit circle. In this paper we obtain the lower bound for the volume of the pedal body $PK^*P
of K^*.$ Using this, we also obtain the lower bound for the volume product V
V(PK) for planar bodies.s.
14
ON ACTION SPECTRUM BUNDLE
Cho, Yong-Seung ; Yoon, Jin-Yue ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 741~751
Abstract
In this paper when
is a compact weakly exact symplectic manifold with nonempty boundary satisfying
= 0, we construct an action spectrum bundle over the group of Hamil-tonian diffeomorphisms of the manifold M generated by the time-dependent Hamiltonian vector fields, whose fibre is nowhere dense and invariant under symplectic conjugation.
15
CHARACTERIZATION OF THE HELICOID AS RULED SURFACES WITH POINTWISE 1-TYPE GAUSS MAP
Choi, Mie-Kyung ; Kim, Young-Ho ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 753~761
Abstract
We introduce the notion of Gauss map of pointwise 1-type on ruled surfaces in the Euclidean 3-space for which vector valued functions is neither trivial nor it extends or coincides with the usual notion of 1-type, in general. We characterize the minimal helicoid in terms of it and give a complete classification of the ruled surfaces with pointwise 1-type Gauss map.
16
ON CONVERGENCE OF SERIES OF INDEPENDENTS RANDOM VARIABLES
Sung, Soo-Hak ; Volodin, Andrei-I. ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 763~772
Abstract
The rate of convergence for an almost surely convergent series
of independent random variables is studied in this paper. More specifically, when S
converges almost surely to a random variable S, the tail series
S - S_{n-1} = {\Sigma^\infty}_{i-n} X_i$ is a well-defined sequence of random variables with T
0 almost surely. Conditions are provided so that for a given positive sequence {
1}, the limit law sup
0 holds. This result generalizes a result of Nam and Rosalsky [4].
17
HARMONIC BERGMAN SPACES OF THE HALF-SPACE AND THEIR SOME OPERATORS
Kang, Si-Ho ; Kim, Ja-Young ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 773~786
Abstract
On the setting of the half-space of the Euclidean n-space, we consider harmonic Bergman spaces and we also study properties of the reproducing kernel. Using covering lemma, we find some equivalent quantities. We prove that if lim
then the inclusion function
is a compact operator. Moreover, we show that if f is a nonnegative continuous function in
is compact if and only if f
(H
).
18
A GENERALIZATION OF THE NILPOTENT SPACE AND ITS APPLICATION
Han, Sang-Eon ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 787~795
Abstract
For the generalized nilpotent spaces, e.g. the locally nilpotent space, the residually locally nilpotent space and the space satisfying the condition (
) or (
), we find the pullback property of them. Furthermore we investigate some fiber properties of the space satisfying the condition (
) or (
), especially locally nilpotent space.
19
A NEW UPPER BOUND FOR SINGLE ERROR-CORRECTING CODES
Kim, Jun-Kyo ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 797~801
Abstract
The purpose of this paper is to give an upper bound for A[n,4], the maximum number of codewords in a binary code of word length n with minimum distance 4 between codewords. We have improved upper bound for A[12k+11,4]. In this correspondence we prove
20
PROJECTIVE SCHUR ALGEBRAS AS CLASS ALGEBRAS
Choi, Eun-Mi ; Lee, Hei-Sook ;
Bulletin of the Korean Mathematical Society, volume 38, issue 4, 2001, Pages 803~814
Abstract
A projective Schur algebra associated with a partition of finite group G can be constructed explicitly by defining linear transformations of G. We will consider various linear transformations and count the number of equivalent classes in a finite group. Then we construct projective Schur algebra dimension is determined by the number of classes.