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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Volume & Issues
Volume 29, Issue 4 - Dec 2007
Volume 29, Issue 3 - Sep 2007
Volume 29, Issue 2 - Jun 2007
Volume 29, Issue 1 - Mar 2007
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1
RIGIDITY FOR MPR, THE MALVENUTO-POIRIER-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS
Hazewinkel, Michiel ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 495~509
DOI : 10.5831/HMJ.2007.29.4.495
Abstract
In this note it is proved that MPR is rigid as a Hopf algebra with distinguished basis. I.e. there are no nontrivial automorphisms that preserve the multiplication and comultiplication and take the distinguished basis of all permutations into itself (as a graded set).
2
A UNITARY LINEAR SYSTEM ON THE BIDISK
Yang, Meehyea ; Hong, Bum-Il ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 511~521
DOI : 10.5831/HMJ.2007.29.4.511
Abstract
Let S(
,
) be a power series with operator coefficients such that multiplication by 5(
,
) is a contractive transformation in the Hilbert space
(
, C). In this paper we show that there exists a Hilbert space D(
,
) which is the state space of extended canonical linear system with a transfer fucntion
(z).
3
SOME PROPERTIES OF INVARIANT SUBSPACES IN BANACH SPACES OF ANALYTIC FUNCTIONS
Hedayatian, K. ; Robati, B. Khani ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 523~533
DOI : 10.5831/HMJ.2007.29.4.523
Abstract
Let
be a reflexive Banach space of functions analytic on the open unit disc and M be an invariant subspace of the multiplication operator by the independent variable,
. Suppose that
and
: M
M, defined by
, is the operator of multiplication by
. We would like to investigate the spectrum and the essential spectrum of
and we are looking for the necessary and sufficient conditions for
to be a Fredholm operator. Also we give a sufficient condition for a sequence
to be an interpolating sequence for
. At last the commutant of
under certain conditions on M and
is determined.
4
OPTIMAL POLYNOMIAL LOWER BOUNDS FOR THE EXPONENTIAL FUNCTION
Bae, Jae-Gug ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 535~542
DOI : 10.5831/HMJ.2007.29.4.535
Abstract
In this paper, for each natural number n, we construct a polynomial
(x) of degree n so that
for
. These polynomials are optimal in the sense that if p(x) is a polynomial of degree n with
, then
.
5
STABILITY OF A MIXED TYPE FUNCTIONAL EQUATION IN 3-VARIABLES
Lee, Sang-Han ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 543~554
DOI : 10.5831/HMJ.2007.29.4.543
Abstract
In this paper, we prove the stability of a mixed type functional equation f( -x + y + z) + f(x - y + z) + f(x + y - z) = f(x - y) + f(y - z) + f(z - x) + f.(x) + f(y) + f(z).
6
ON STRONGLY 2-PRIMAL RINGS
Hwang, Seo-Un ; Lee, Yang ; Park, Kwang-Sug ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 555~567
DOI : 10.5831/HMJ.2007.29.4.555
Abstract
We first find strongly 2-primal rings whose sub direct product is not (strongly) 2-primal. Moreover we observe some kinds of ring extensions of (strongly) 2-primal rings. As an example we show that if R is a ring and M is a multiplicative monoid in R consisting of central regular elements, then R is strongly 2-primal if and only if so is
. Various properties of (strongly) 2-primal rings are also studied.
7
ON STAR MOMENT SEQUENCE OF OPERATORS
Park, Sun-Hyun ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 569~576
DOI : 10.5831/HMJ.2007.29.4.569
Abstract
Let
be a separable, infinite dimensional, complex Hilbert space. We call "an operator
acting on
has a star moment sequence supported on a set K" when there exist nonzero vectors u and v in
and a positive Borel measure
such that <
, v> =
for all j,
. We obtain a characterization to find a representing star moment measure and discuss some related properties.
8
THE ROTATION THEOREM ON ANALOGUE OF WIENER SPACE
Ryu, Kun-Sik ; Shim, Shung-Hoon ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 577~588
DOI : 10.5831/HMJ.2007.29.4.577
Abstract
Bearman's rotation theorem is not only very important in pure mathematics but also plays the key role for various research areas, related to Wiener measure. In 2002, the author and professor Im introduced the concept of analogue of Wiener measure, a kind of generalization of Wiener measure and they presented the several papers associated with it. In this article, we prove a formula on analogue of Wiener measure, similar to the formula in Bearman's rotation theorem.
9
A NOTE ON PRECONVEXITY SPACES
Min, Won-Keun ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 589~595
DOI : 10.5831/HMJ.2007.29.4.589
Abstract
In this paper, we introduce the concepts of the convexity hull and co-convex sets on preconvexity spaces. We study some properties for the co-convexity hull and characterize c-convex functions and c-concave functions by using the co-convexity hull and the convexity hull.
10
ON δgs-CLOSED SETS AND ALMOST WEAKLY HAUSDORFF SPACES
Park, Jin-Han ; Song, Dae-Seob ; Lee, Bu-Young ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 597~615
DOI : 10.5831/HMJ.2007.29.4.597
Abstract
The aim of this paper is to introduce the class of
-closed sets and obtain characterizations of almost weakly Hausdorff spaces due to Dontchev and Ganster. We also introduce the notion of
-continuity and investigate the relationships between it and other types of continuity.
11
ON THE SINGULAR KOBAYASHI PSEUDOMETRICS
Kim, Jong-Jin ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 617~630
DOI : 10.5831/HMJ.2007.29.4.617
Abstract
In this paper, we'll introduce infinitesimal Finsler metrics induced by the higher order Kobayashi pseudometric and then prove some properties related to these as compared with the usual Kobayashi metric.
12
ON INTUITIONISTIC FUZZY w-PRIMARY SUBMODULES
Lee, Dong-Soo ; Park, Chul-Hwan ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 631~640
DOI : 10.5831/HMJ.2007.29.4.631
Abstract
In this paper, we introduce the notions of intuitionistic fuzzy w-primary submodule and intuitionistic fuzzy w-primary ideal. And we give an example of intuitionistic fuzzy w-primary submodule and some related properties are investigated.
13
VARIATIONAL METHODS ON WARPED PRODUCT MANIFOLDS
Jung, Yoon-Tae ; Choi, Eun-Hee ; Lee, Sang-Chul ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 641~647
DOI : 10.5831/HMJ.2007.29.4.641
Abstract
In this paper, we consider the problem of achieving constant scalar curvature on warped product manifolds according to fiber manifolds with constant scalar curvature.
14
A GENERALIZATION OF THE SCHUR-COHN TEST
Lee, You-Ho ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 649~652
DOI : 10.5831/HMJ.2007.29.4.649
Abstract
In this note we provide a generalization of the Schur-Cohn test. If
be a polynomial of degree n then
is a reduced-stable polynomial whose reduced degree is equal to r if and only if
is a contraction such that rank (
) = r.
15
ON THE INTEGRAL CLOSURES OF IDEALS
Ansari-Toroghy, H. ; Dorostkar, F. ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 653~666
DOI : 10.5831/HMJ.2007.29.4.653
Abstract
Let R be a commutative Noetherian ring (with a nonzero identity) and let M be an R-module. Further let I be an ideal of R. In this paper, by putting a suitable condition on
(M), we obtain some results concerning
and prove that the sequence of sets
,
, is increasing and ultimately constant. (Here
denotes the integral closure of
relative to M.)
16
PRIME IDEALS OF RINGS GRADED BY A COMMUTATIVE SEMIGROUP WHICH IS A NILPOTENT EXTENSION OF A GROUP
Chang, Chae-Hoon ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 667~679
DOI : 10.5831/HMJ.2007.29.4.667
Abstract
We study the prime ideal structure of the direct sum of directed system of rings indexed by a commutative semigroup which is nilpotent extension of a group.
17
REMARKS ON FOUR-DIMENSIONAL TRICERRI-VANHECKE BOCHNER FLAT ALMOST HERMITIAN MANIFOLDS
Lee, J. ; Park, J.H. ; Sekigawa, K. ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 681~694
DOI : 10.5831/HMJ.2007.29.4.681
Abstract
We study curvature properties of four-dimensional almost Hermitian manifolds with vanishing Bochner curvature tensor as defined by Tricerri and Vanhecke. We give some structure theorems for such manifolds.
18
ON THE UNIQUENESS FOR ENTIRE FUNCTIONS
Chern, Peter Tien-Yu ; Kim, Jong-Jin ; Kim, In-Su ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 695~700
DOI : 10.5831/HMJ.2007.29.4.695
Abstract
We establish two uniqueness theorems for non-constant entire functions which extends results of J. S. Hwang in J. Math. Anal. and its Appl. Vol. 37 (1972) 452-456.
19
NOTES ON NEW SINGULAR FUNCTION METHOD FOR DOMAIN SINGULARITIES
Kim, Seok-Chan ; Pyo, Jae-Hong ; Xie, Shu-Sen ; Yi, Su-Cheol ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 701~721
DOI : 10.5831/HMJ.2007.29.4.701
Abstract
Recently, a new singular function(NSF) method was posed to get accurate numerical solution on quasi-uniform grids for two-dimensional Poisson and interface problems with domain singularities by the first author and his coworkers. Using the singular function representation of the solution, dual singular functions, and an extraction formula for stress intensity factors, the method poses a weak problem whose solution is in
or
. In this paper, we show that the singular functions, which are not in
, also satisfy the integration by parts and note that this fact suggests the possibility of different choice of the weak formulations. We show that the original choice of weak formulation of NSF method is critical.
20
UNIQUENESS RESULTS FOR THE NONLINEAR HYPERBOLIC SYSTEM WITH JUMPING NONLINEARITY
Jung, Tack-Sung ; Choi, Q-Heung ;
Honam Mathematical Journal, volume 29, issue 4, 2007, Pages 723~732
DOI : 10.5831/HMJ.2007.29.4.723
Abstract
We investigate the existence of solutions u(x, t) for a perturbation b[
] of the hyperbolic system with Dirichlet boundary condition (0.1) =
in
,
in
where
= max{u,0},
are nonzero constants. Here
are periodic functions.