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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Yun Sung Choi
Volume & Issues
Volume 46, Issue 6 - Nov 2009
Volume 46, Issue 5 - Sep 2009
Volume 46, Issue 4 - Jul 2009
Volume 46, Issue 3 - May 2009
Volume 46, Issue 2 - Mar 2009
Volume 46, Issue 1 - Jan 2009
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1
ON HYPERBOLIC 3-MANIFOLDS WITH SYMMETRIC HEEGAARD SPLITTINGS
Kim, Soo-Hwan ; Kim, Yang-Kok ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1119~1137
DOI : 10.4134/JKMS.2009.46.6.1119
Abstract
We construct a family of hyperbolic 3-manifolds by pairwise identifications of faces in the boundary of certain polyhedral 3-balls and prove that all these manifolds are cyclic branched coverings of the 3-sphere over certain family of links with two components. These extend some results from [5] and [10] concerning with the branched coverings of the whitehead link.
2
REPRESENTATIONS OF THE MOORE-PENROSE INVERSE OF 2×2 BLOCK OPERATOR VALUED MATRICES
Deng, Chun Yuan ; Du, Hong Ke ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1139~1150
DOI : 10.4134/JKMS.2009.46.6.1139
Abstract
We obtain necessary and sufficient conditions for
block operator valued matrices to be Moore-Penrose (MP) invertible and give new representations of such MP inverses in terms of the individual blocks.
3
STRONG CONVERGENCE OF COMPOSITE ITERATIVE METHODS FOR NONEXPANSIVE MAPPINGS
Jung, Jong-Soo ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1151~1164
DOI : 10.4134/JKMS.2009.46.6.1151
Abstract
Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C
C a contractive mapping (or a weakly contractive mapping), and T : C
C a nonexpansive mapping with the fixed point set F(T)
. Let {
} be generated by a new composite iterative scheme: $y_n
4
FINITE GROUPS WHICH HAVE MANY NORMAL SUBGROUPS
Zhang, Qinhai ; Guo, Xiaoqiang ; Qu, Haipeng ; Xu, Mingyao ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1165~1178
DOI : 10.4134/JKMS.2009.46.6.1165
Abstract
In this paper we classify finite groups whose nonnormal subgroups are of order p or pq, where p, q are primes. As a by-product, we also classify the finite groups in which all nonnormal subgroups are cyclic.
5
A NOTE ON PRÜFER SEMISTAR MULTIPLICATION DOMAINS
Picozza, Giampaolo ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1179~1192
DOI : 10.4134/JKMS.2009.46.6.1179
Abstract
In this note we give a new generalization of the notions of
domain and PvMD which uses quasi semistar invertibility, the "quasi P
MD", and compare them with the P
MD. We show in particular that the problem of when a quasi P
MD is a P
MD is strictly related to the problem of the descent to subrings of the P
MD property and we give necessary and sufficient conditions.
6
STABILITY OF RICCI FLOWS BASED ON KILLING CONDITIONS
Zhao, Peibiao ; Cai, Qihui ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1193~1206
DOI : 10.4134/JKMS.2009.46.6.1193
Abstract
C. Guenther studied the stability of DeTurck flows by using maximal regularity theory and center manifolds, but these arguments can not solve the stability of Ricci flows because the Ricci flow equation is not strictly parabolic. Recognizing this deficiency, the present paper considers and obtains the stability of Ricci flows, and of quasi-Ricci flows in view of some Killing conditions.
7
ON ENERGY ESTIMATES FOR A LANDAU-LIFSCHITZ TYPE FUNCTIONAL IN HIGHER DIMENSIONS
Qi, Longxing ; Lei, Yutian ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1207~1218
DOI : 10.4134/JKMS.2009.46.6.1207
Abstract
The authors study the asymptotic behavior of radial minimizers of an energy functional associated with ferromagnets and antiferromagnets in higher dimensions. The location of the zeros of the radial minimizer is discussed. Moreover, several uniform estimates for the radial minimizer are presented. Based on these estimates, the authors establish global convergence of radial minimizers.
8
GENERALIZED COMPOSITION OPERATORS FROM GENERALIZED WEIGHTED BERGMAN SPACES TO BLOCH TYPE SPACES
Zhu, Xiangling ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1219~1232
DOI : 10.4134/JKMS.2009.46.6.1219
Abstract
Let H(B) denote the space of all holomorphic functions on the unit ball B of
. Let
9
THE SEPARABLE QUOTIENT PROBLEM FOR (LF)
_{tv}
-SPACES
Sliwa, Wieslaw ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1233~1242
DOI : 10.4134/JKMS.2009.46.6.1233
Abstract
In 1981 S. A. Saxon and P. P. Narayanaswami ([10]) showed that every (LF)-space has an infinite dimensional separable quotient. In this note we prove that this fails for (LF)
-spaces. We construct a wide class of (LF)
-spaces, which have no infinite dimensional separable quotient.
10
ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION
Mamedov, Khanlar R. ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1243~1254
DOI : 10.4134/JKMS.2009.46.6.1243
Abstract
The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0,
). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.
11
NOTES ON TANGENT SPHERE BUNDLES OF CONSTANT RADII
Park, Jeong-Hyeong ; Sekigawa, Kouei ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1255~1265
DOI : 10.4134/JKMS.2009.46.6.1255
Abstract
We show that the Riemannian geometry of a tangent sphere bundle of a Riemannian manifold (M, g) of constant radius
reduces essentially to the one of unit tangent sphere bundle of a Riemannian manifold equipped with the respective induced Sasaki metrics. Further, we provide some applications of this theorem on the
-Einstein tangent sphere bundles and certain related topics to the tangent sphere bundles.
12
APPROXIMATION TO THE CUMULATIVE NORMAL DISTRIBUTION USING HYPERBOLIC TANGENT BASED FUNCTIONS
Yun, Beong-In ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1267~1276
DOI : 10.4134/JKMS.2009.46.6.1267
Abstract
This paper presents a method for approximation of the standard normal distribution by using hyperbolic tangent based functions. The presented approximate formula for the cumulative distribution depends on one numerical coefficient only, and its accuracy is admissible. Furthermore, in some particular cases, closed forms of inverse formulas are derived. Numerical results of the present method are compared with those of an existing method.
13
GENERATING RELATIONS INVOLVING 3-VARIABLE 2-PARAMETER TRICOMI FUNCTIONS USING LIE-ALGEBRAIC TECHNIQUES
Khan, Subuhi ; Khan, Mumtaz Ahmad ; Khan, Rehana ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1277~1292
DOI : 10.4134/JKMS.2009.46.6.1277
Abstract
This paper is an attempt to stress the usefulness of the multivariable special functions. In this paper, we derive generating relations involving 3-variable 2-parameter Tricomi functions by using Lie-algebraic techniques. Further we derive certain new and known generating relations involving other forms of Tricomi and Bessel functions as applications.
14
POLYNOMIAL FACTORIZATION THROUGH L
_{γ}
(μ) SPACES
Cilia, Raffaella ; Gutierrez, Joaquin M. ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1293~1307
DOI : 10.4134/JKMS.2009.46.6.1293
Abstract
We give conditions so that a polynomial be factorable through an
space. Among them, we prove that, given a Banach space X and an index m, every absolutely summing operator on X is 1-factorable if and only if every 1-dominated m-homogeneous polynomial on X is right 1-factorable, if and only if every 1-dominated m-homogeneous polynomial on X is left 1-factorable. As a consequence, if X has local unconditional structure, then every 1-dominated homogeneous polynomial on X is right and left 1-factorable.
15
ROMAN k-DOMINATION IN GRAPHS
Kammerling, Karsten ; Volkmann, Lutz ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1309~1318
DOI : 10.4134/JKMS.2009.46.6.1309
Abstract
Let k be a positive integer, and let G be a simple graph with vertex set V (G). A Roman k-dominating function on G is a function f : V (G)
{0, 1, 2} such that every vertex u for which f(u)
16
SENSITIVITY ANALYSIS FOR SYSTEM OF PARAMETRIC GENERALIZED QUASI-VARIATIONAL INCLUSIONS INVOLVING R-ACCRETIVE MAPPINGS
Kazmi, Kaleem Raza ; Khan, Faizan Ahmad ; Ahmad, Naeem ;
Journal of the Korean Mathematical Society, volume 46, issue 6, 2009, Pages 1319~1338
DOI : 10.4134/JKMS.2009.46.6.1319
Abstract
In this paper, using proximal-point mappings technique of Raccretive mappings and the property of the fixed point set of set-valued contractive mappings, we study the behavior and sensitivity analysis of the solution set of the system of parametric generalized quasi-variational inclusions involving R-accretive mappings in real uniformly smooth Banach space. Further under suitable conditions, we discuss the Lipschitz continuity of the solution set with respect to parameters. The technique and results presented in this paper can be viewed as extension of the techniques and corresponding results given in [3, 23, 24, 32, 33, 34].