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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 47, Issue 6 - Nov 2010
Volume 47, Issue 5 - Sep 2010
Volume 47, Issue 4 - Jul 2010
Volume 47, Issue 3 - May 2010
Volume 47, Issue 2 - Mar 2010
Volume 47, Issue 1 - Jan 2010
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1
MODULE EXTENSION OF DUAL BANACH ALGEBRAS
Gordji, Madjid Eshaghi ; Habibian, Fereydoun ; Rejali, Ali ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 663~673
DOI : 10.4134/BKMS.2010.47.4.663
Abstract
This work was intended as an attempt to introduce and investigate the Connes-amenability of module extension of dual Banach algebras. It is natural to try to study the
-continuous derivations on the module extension of dual Banach algebras and also the weak Connes-amenability of such Banach algebras.
2
TWO STEP ALGORITHM FOR SOLVING REGULARIZED GENERALIZED MIXED VARIATIONAL INEQUALITY PROBLEM
Kazmi, Kaleem Raza ; Khan, Faizan Ahmad ; Shahza, Mohammad ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 675~685
DOI : 10.4134/BKMS.2010.47.4.675
Abstract
In this paper, we consider a new class of regularized (nonconvex) generalized mixed variational inequality problems in real Hilbert space. We give the concepts of partially relaxed strongly mixed monotone and partially relaxed strongly
-pseudomonotone mappings, which are extension of the concepts given by Xia and Ding [19], Noor [13] and Kazmi et al. [9]. Further we use the auxiliary principle technique to suggest a two-step iterative algorithm for solving regularized (nonconvex) generalized mixed variational inequality problem. We prove that the convergence of the iterative algorithm requires only the continuity, partially relaxed strongly mixed monotonicity and partially relaxed strongly
-pseudomonotonicity. The theorems presented in this paper represent improvement and generalization of the previously known results for solving equilibrium problems and variational inequality problems involving the nonconvex (convex) sets, see for example Noor [13], Pang et al. [14], and Xia and Ding [19].
3
ON GROUPS SATISFYING THE MAXIMAL AND THE MINIMAL CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX
Russo, Alessio ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 687~691
DOI : 10.4134/BKMS.2010.47.4.687
Abstract
In this article we will prove that a generalized radical group satisfying the maximal condition for subnormal subgroups of infinite order (the minimal condition for subnormal subgroups of infinite index, respectively) is soluble-by-finite. Such result generalizes that obtained by D. H. Paek in [5].
4
INVERSE POLYNOMIAL MODULES INDUCED BY AN R-LINEAR MAP
Park, Sang-Won ; Jeong, Jin-Sun ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 693~699
DOI : 10.4134/BKMS.2010.47.4.693
Abstract
In this paper we show that the flat property of a left R-module does not imply (carry over) to the corresponding inverse polynomial module. Then we define an induced inverse polynomial module as an R[x]-module, i.e., given an R-linear map f : M
N of left R-modules, we define
as a left R[x]-module. Given an exact sequence of left R-modules
, where
,
injective, we show
is not an injective left R[x]-module, while
is an injective left R[x]-module. Make a left R-module N as a left R[x]-module by xN = 0. We show inj
N = n implies inj
N = n + 1 by using the induced inverse polynomial modules and their properties.
5
GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS
Jin, Dae-Ho ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 701~714
DOI : 10.4134/BKMS.2010.47.4.701
Abstract
In this paper, we study the geometry of real half lightlike submanifolds of an indefinite Kaehler manifold. The main result is a characterization theorem for screen conformal real half lightlike submanifolds of an indefinite complex space form.
6
ON FULLY IDEMPOTENT RINGS
Jeon, Young-Cheol ; Kim, Nam-Kyun ; Lee, Yang ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 715~726
DOI : 10.4134/BKMS.2010.47.4.715
Abstract
We continue the study of fully idempotent rings initiated by Courter. It is shown that a (semi)prime ring, but not fully idempotent, can be always constructed from any (semi)prime ring. It is shown that the full idempotence is both Morita invariant and a hereditary radical property, obtaining
for any ring R where hs(-) means the sum of all fully idempotent ideals. A non-semiprimitive fully idempotent ring with identity is constructed from the Smoktunowicz's simple nil ring. It is proved that the full idempotence is preserved by the classical quotient rings. More properties of fully idempotent rings are examined and necessary examples are found or constructed in the process.
7
CONVERGENCE OF RELAXED TWO-STAGE MULTISPLITTING METHOD USING AN OUTER SPLITTING
Yun, Jae-Heon ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 727~741
DOI : 10.4134/BKMS.2010.47.4.727
Abstract
In this paper, we study the convergence of relaxed two-stage multisplitting method using H-compatible splittings or SOR multisplitting as inner splittings and an outer splitting for solving a linear system whose coefficient matrix is an H-matrix. We also provide numerical experiments for the convergence of the relaxed two-stage multisplitting method.
8
THE ALTERNATIVE DUNFORD-PETTIS PROPERTY IN SUBSPACES OF OPERATOR IDEALS
Moshtaghioun, S. Mohammad ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 743~750
DOI : 10.4134/BKMS.2010.47.4.743
Abstract
For several Banach spaces X and Y and operator ideal
, if
(X, Y) denotes the component of operator ideal
; according to Freedman's definitions, it is shown that a necessary and sufficient condition for a closed subspace
of
(X, Y) to have the alternative Dunford-Pettis property is that all evaluation operators
and
are DP1 operators, where
and
for
,
and
.
9
THE UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS SHARING THREE VALUES AND ONE PAIR OF POLYNOMIALS
Li, Xiao-Min ; Yi, Hong-Xun ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 751~765
DOI : 10.4134/BKMS.2010.47.4.751
Abstract
In this paper, we deal with a uniqueness theorem of two nonconstant meromorphic functions that share three values and one pair of polynomials. The results in this paper improve those given by G. G. Gundersen, G. Brosch and other authors.
10
THE FUNDAMENTAL FORMULAS OF FINSLER SUBMANIFOLDS
Li, Jintang ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 767~775
DOI : 10.4134/BKMS.2010.47.4.767
Abstract
Let
be an isometric immersion from a Finsler manifold to a Finsler manifold. In this paper, we shall obtain the Gauss and Codazzi equations with respect to the Chern connection on submanifolds M, by which we prove that if M is a weakly totally geodesic submanifold of
, then flag curvature of M equals flag curvature of
.
11
STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION IN QUASI NORMED SPACES
Mirmostafaee, Alireza Kamel ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 777~785
DOI : 10.4134/BKMS.2010.47.4.777
Abstract
Let X be a linear space and Y be a complete quasi p-norm space. We will show that for each function f : X
Y, which satisfies the inequality
for suitable control function
, there is a unique monomial function M of degree n which is a good approximation for f in such a way that the continuity of
and
imply the continuity of
.
12
LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
Taghavi, Ali ; Hosseinzadeh, Roja ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 787~792
DOI : 10.4134/BKMS.2010.47.4.787
Abstract
Let A and B be some standard operator algebras on complex Banach spaces X and Y, respectively. We give the concrete forms of linear idempotence preserving maps
on finite-rank operators.
13
SOME WEAK HYPONORMAL CLASSES OF WEIGHTED COMPOSITION OPERATORS
Jabbarzadeh, Mohammad R. ; Azimi, Mohammad R. ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 793~803
DOI : 10.4134/BKMS.2010.47.4.793
Abstract
In this note, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on
such as, p-quasihyponormal, p-paranormal, p-hyponormal and weakly hyponormal. Some examples are then presented to illustrate that weighted composition operators lie between these classes.
14
EXISTENCE RESULTS FOR FRACTIONAL DIFFERENTIAL INCLUSIONS WITH SEPARATED BOUNDARY CONDITIONS
Ahmad, Bashir ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 805~813
DOI : 10.4134/BKMS.2010.47.4.805
Abstract
In this paper, we apply Bohnenblust-Karlins fixed point theorem to prove the existence of solutions for a class of fractional differential inclusions with separated boundary conditions. Some applications of the main result are also presented.
15
ON HARMONICITY IN A DISC AND n-HARMONICITY
Lee, Jae-Sung ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 815~823
DOI : 10.4134/BKMS.2010.47.4.815
Abstract
Let
be either a power bounded radial measure with compact support on the unit disc D with
such that there is a
> 0 so that
for every
\ {0,1}, or just a radial probability measure on D. Here, we provide a decomposition of the set X = {
exists}. Let
, ...,
be measures on D with above mentioned properties. Here, we prove that if
satisfies an invariant volume mean value property with respect to
, ...,
, then f is n-harmonic.
16
A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE
Demirci, Kamil ; Dirik, Fadime ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 825~837
DOI : 10.4134/BKMS.2010.47.4.825
Abstract
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from
(K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.
17
CONTINUOUS CHARACTERIZATION OF THE TRIEBEL-LIZORKIN SPACES AND FOURIER MULTIPLIERS
Cho, Yong-Kum ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 839~857
DOI : 10.4134/BKMS.2010.47.4.839
Abstract
We give a set of continuous characterizations for the homogeneous Triebel-Lizorkin spaces and use them to study boundedness properties of Fourier multiplier operators whose symbols satisfy a generalization of H
rmander's condition. As an application, we give new direct proofs of the imbedding theorems of the Sobolev type.
18
HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE
Choi, Mie-Kyung ; Kim, Young-Ho ; Liu, Huili ; Yoon, Dae-Won ;
Bulletin of the Korean Mathematical Society, volume 47, issue 4, 2010, Pages 859~881
DOI : 10.4134/BKMS.2010.47.4.859
Abstract
The helicoidal surface is a generalization of rotation surface in a Minkowski space. We study helicoidal surfaces in a Minkowski 3-space in terms of their Gauss map and provide some examples of new classes of helicoidal surfaces with constant mean curvature in a Minkowski 3-space.