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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 48, Issue 6 - Nov 2011
Volume 48, Issue 5 - Sep 2011
Volume 48, Issue 4 - Jul 2011
Volume 48, Issue 3 - May 2011
Volume 48, Issue 2 - Mar 2011
Volume 48, Issue 1 - Jan 2011
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1
CHAOTIC PROPERTY OF WEIGHTED COMPOSITION OPERATORS
Rezaei, Hamid ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1119~1124
DOI : 10.4134/BKMS.2011.48.6.1119
Abstract
In the present paper, we study the chaotic property of weighted composition operators acting on the holomorphic function space
.
2
ON THE LOCAL COHOMOLOGY OF MINIMAX MODULES
Mafi, Amir ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1125~1128
DOI : 10.4134/BKMS.2011.48.6.1125
Abstract
Let R be a commutative Noetherian ring, a an ideal of R, and M a minimax R-module. We prove that the local cohomology modules
are a-cominimax; that is,
(R/a,
) is minimax for all i and j in the following cases: (a) dim R/a = 1; (b) cd(a) = 1, where cd is the cohomological dimension of a in R; (c) dim
. In these cases we also prove that the Bass numbers and the Betti numbers of
are finite.
3
SOME INVARIANT SUBSPACES FOR SUBSCALAR OPERATORS
Yoo, Jong-Kwang ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1129~1135
DOI : 10.4134/BKMS.2011.48.6.1129
Abstract
In this note, we prove that every subscalar operator with finite spectrum is algebraic. In particular, a quasi-nilpotent subscala operator is nilpotent. We also prove that every subscalar operator with property (
) on a Banach space of dimension greater than 1 has a nontrivial invariant closed linear subspace.
4
ON THE RATES OF THE ALMOST SURE CONVERGENCE FOR SELF-NORMALIZED LAW OF THE ITERATED LOGARITHM
Pang, Tian-Xiao ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1137~1146
DOI : 10.4134/BKMS.2011.48.6.1137
Abstract
Let {
,
} be a sequence of i.i.d. nondegenerate random variables which is in the domain of attraction of the normal law with mean zero and possibly infinite variance. Denote
,
and
. Then for d > -1, we showed that under some regularity conditions,
holds in this paper, where If g denotes the indicator function.
5
FINITE NON-NILPOTENT GENERALIZATIONS OF HAMILTONIAN GROUPS
Shen, Zhencai ; Shi, Wujie ; Zhang, Jinshan ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1147~1155
DOI : 10.4134/BKMS.2011.48.6.1147
Abstract
In J. Korean Math. Soc, Zhang, Xu and other authors investigated the following problem: what is the structure of finite groups which have many normal subgroups? In this paper, we shall study this question in a more general way. For a finite group G, we define the subgroup
to be intersection of the normalizers of all non-cyclic subgroups of G. Set
. Define
for
. By
denote the terminal term of the ascending series. It is proved that if
, then the derived subgroup G' is nilpotent. Furthermore, if all elements of prime order or order 4 of G are in
, then G' is also nilpotent.
6
APPROXIMATION AND BALANCING ORDERS FOR TOTALLY INTERPOLATING BIORTHOGONAL MULTIWAVELET SYSTEMS
Choi, Young-Woo ; Jung, Jae-Won ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1157~1167
DOI : 10.4134/BKMS.2011.48.6.1157
Abstract
We consider totally interpolating biorthogonal multiwavelet systems with finite impulse response two-band multifilter banks, a study balancing order conditions of such systems. Based on FIR and interpolating properties, we show that approximation order condition is completely equivalent to balancing order condition. Consequently, a prefiltering can be avoided if a totally interpolating biorthogonal multiwavelet system satisfies suitable approximation order conditions. An example with approximation order 4 is provided to illustrate the result.
7
ON EXISTENCE OF WEAK SOLUTIONS OF NEUMANN PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING p-LAPLACIAN IN AN UNBOUNDED DOMAIN
Hang, Trinh Thi Minh ; Toan, Hoang Quoc ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1169~1182
DOI : 10.4134/BKMS.2011.48.6.1169
Abstract
In this paper we study the existence of non-trivial weak solutions of the Neumann problem for quasilinear elliptic equations in the form
in an unbounded domain
,
, with sufficiently smooth bounded boundary
, where
,
,
for all
. The proof of main results rely essentially on the arguments of variational method.
8
DECOMPOSITION THEOREMS OF LIE OPERATOR ALGEBRAS
Chen, Yin ; Chen, Liangyun ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1183~1193
DOI : 10.4134/BKMS.2011.48.6.1183
Abstract
In this paper, we introduce a notion of Lie operator algebras which as a generalization of ordinary Lie algebras is an analogy of operator groups. We discuss some elementary properties of Lie operator algebras. Moreover, we also prove a decomposition theorem for Lie operator algebras.
9
GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM AREA NEVANLINNA SPACES TO WEIGHTED-TYPE SPACES
Weifeng, Yang ; Weiren, Yan ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1195~1205
DOI : 10.4134/BKMS.2011.48.6.1195
Abstract
Let
denote the class of all analytic functions on the open unit disk
of the complex plane
. Let n be a nonnegative integer,
be an analytic self-map of
and
. The generalized weighted composition operator is defined by
. The boundedness and compactness of the generalized weighted composition operator from area Nevanlinna spaces to weighted-type spaces and little weighted-type spaces are characterized in this paper.
10
INTEGRAL DOMAINS WITH A FREE SEMIGROUP OF *-INVERTIBLE INTEGRAL *-IDEALS
Chang, Gyu-Whan ; Kim, Hwan-Koo ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1207~1218
DOI : 10.4134/BKMS.2011.48.6.1207
Abstract
Let * be a star-operation on an integral domain R, and let
be the semigroup of *-invertible integral *-ideals of R. In this article, we introduce the concept of a *-coatom, and we then characterize when
is a free semigroup with a set of free generators consisting of *-coatoms. In particular, we show that
is a free semigroup if and only if R is a Krull domain and each
-invertible
-ideal is *-invertible. As a corollary, we obtain some characterizations of *-Dedekind domains.
11
A DETERMINANT FORMULA FOR CONGRUENT ZETA FUNCTIONS OF REAL ABELIAN FUNCTION FIELDS
Ahn, Jae-Hyun ; Jung, Hwan-Yup ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1219~1224
DOI : 10.4134/BKMS.2011.48.6.1219
Abstract
In this paper we give a determinant formula for congruent zeta functions of real Abelian function fields. We also give some example of congruent zeta functions when the conductor of real Abelian function field is monic irreducible.
12
CONNECTEDNESS AND COMPACTNESS OF WEAK EFFICIENT SOLUTIONS FOR VECTOR EQUILIBRIUM PROBLEMS
Long, Xian Jun ; Peng, Jian Wen ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1225~1233
DOI : 10.4134/BKMS.2011.48.6.1225
Abstract
In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. 133 (2007), 151-161].
13
VALUE SHARING RESULTS OF A MEROMORPHIC FUNCTION f(z) AND f(qz)
Qi, Xiaoguang ; Liu, Kai ; Yang, Lianzhong ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1235~1243
DOI : 10.4134/BKMS.2011.48.6.1235
Abstract
In this paper, we investigate sharing value problems related to a meromorphic function f(z) and f(qz), where q is a non-zero constant. It is shown, for instance, that if f(z) is zero-order and shares two valves CM and one value IM with f(qz), then f(z) = f(qz).
14
THE STRUCTURE OF THE REGULAR LEVEL SETS
Hwang, Seung-Su ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1245~1252
DOI : 10.4134/BKMS.2011.48.6.1245
Abstract
Consider the
-adjoint
of the linearization of the scalar curvature
. If ker
on an n-dimensional compact manifold, it is well known that the scalar curvature
is a non-negative constant. In this paper, we study the structure of the level set
(0) and find the behavior of Ricci tensor when ker
with
> 0. Also for a nontrivial solution (g, f) of
on an n-dimensional compact manifold, we analyze the structure of the regular level set
(-1). These results give a good understanding of the given manifolds.
15
GENERALIZED DERIVATIONS ON SEMIPRIME RINGS
De Filippis, Vincenzo ; Huang, Shuliang ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1253~1259
DOI : 10.4134/BKMS.2011.48.6.1253
Abstract
Let R be a prime ring, I a nonzero ideal of R and n a fixed positive integer. If R admits a generalized derivation F associated with a derivation d such that c for all x,
. Then either R is commutative or n = 1, d = 0 and F is the identity map on R. Moreover in case R is a semiprime ring and
for all x,
, then either R is commutative or n = 1,
, R contains a non-zero central ideal and for all
.
16
CONTINUITY OF SPECTRA AND COMPACT PERTURBATIONS
Sanchez-Perales, Salvador ; Djordjevic, Slavissa V. ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1261~1270
DOI : 10.4134/BKMS.2011.48.6.1261
Abstract
In this note we give conditions for continuity of spectrum, approximative point spectrum and defect spectrum on the set
, where
and
is the set of compact operators.
17
CONTROLLABILITY OF SECOND-ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
Arthi, Ganesan ; Balachandran, Krishnan ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1271~1290
DOI : 10.4134/BKMS.2011.48.6.1271
Abstract
The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with statedependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory Finally examples are presented to illustrate the theory.
18
LOCAL WELL-POSEDNESS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH HARMONIC POTENTIAL IN H
^{s}
Zhang, Shan ; Liu, Zuhan ; Lu, Zhongxue ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1291~1302
DOI : 10.4134/BKMS.2011.48.6.1291
Abstract
We establish the local well-posedness for the Cauchy problem of the nonlinear Schr
odinger equation with harmonic potential in
, where
, s > 0.
19
MEROMORPHIC SOLUTIONS OF SOME q-DIFFERENCE EQUATIONS
Chen, Baoqin ; Chen, Zongxuan ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1303~1314
DOI : 10.4134/BKMS.2011.48.6.1303
Abstract
We consider meromorphic solutions of q-difference equations of the form
where
,
,
are meromorphic functions,
≢ 0 and
such that 0 < |q|
1. We give a new estimate on the upper bound for the length of the gap in the power series of entire solutions for the case 0 < |q| < 1 and n = 2. Some growth estimates for meromorphic solutions are also given in the cases 0 < |q| < 1. Moreover, we investigate zeros and poles of meromorphic solutions for the case |q| = 1.
20
JACOBI OPERATORS ALONG THE STRUCTURE FLOW ON REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM II
Ki, U-Hang ; Kurihara, Hiroyuki ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1315~1327
DOI : 10.4134/BKMS.2011.48.6.1315
Abstract
Let M be a real hypersurface of a complex space form with almost contact metric structure (
,
,
, g). In this paper, we study real hypersurfaces in a complex space form whose structure Jacobi operator
is
-parallel. In particular, we prove that the condition
characterizes the homogeneous real hypersurfaces of type A in a complex projective space or a complex hyperbolic space when
holds on M, where S denotes the Ricci tensor of type (1,1) on M.
21
OBSTRUCTION FOR THE EXISTENCE OF A PARALLEL VOLUME FORM
Cho, Hee-Kyung ; Kim, Dae-Yong ; Kim, Hyuk ;
Bulletin of the Korean Mathematical Society, volume 48, issue 6, 2011, Pages 1329~1339
DOI : 10.4134/BKMS.2011.48.6.1329
Abstract
For a manifold with a linear connection, we find an obstruction class to have a volume form parallel with respect to its connection which corresponds to the Chern-Simons secondary invariant in the frame bundle of the manifold.