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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 31, Issue 4 - Dec 2009
Volume 31, Issue 3 - Sep 2009
Volume 31, Issue 2 - Jun 2009
Volume 31, Issue 1 - Mar 2009
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1
COMMON LOCAL SPECTRAL PROPERTIES OF INTERTWINING LINEAR OPERATORS
Yoo, Jong-Kwang ; Han, Hyuk ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 137~145
DOI : 10.5831/HMJ.2009.31.2.137
Abstract
Let T
(X), S
(Y ), A
(X, Y ) and B
(Y,X) such that SA = AT, TB = BS, AB = S and BA = T. Then S and T shares that same local spectral properties SVEP, property (
), property
, property (
) and decomposability. From these common local spectral properties, we give some results related with Aluthge transforms and subscalar operators.
2
A SIMULTANEOUS NEURAL NETWORK APPROXIMATION WITH THE SQUASHING FUNCTION
Hahm, Nahm-Woo ; Hong, Bum-Il ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 147~156
DOI : 10.5831/HMJ.2009.31.2.147
Abstract
In this paper, we actually construct the simultaneous approximation by neural networks to a differentiable function. To do this, we first construct a polynomial approximation using the Fejer sum and then a simultaneous neural network approximation with the squashing activation function. We also give numerical results to support our theory.
3
NEW TYPES OF FUZZY BCK-FILTERS
Jun, Young-Bae ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 157~166
DOI : 10.5831/HMJ.2009.31.2.157
Abstract
Using more general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset, the notion of (
)-fuzzy BCK-filters is introduced, and related properties are investigated. Many characterizations of (
)-fuzzy BCK-filters are provided. Relations between an (
)-fuzzy BCK-filter and a fuzzy BCK-filter are established.
4
ON CERTAIN REDUCIBILITY OF KAMPE DE FERIET FUNCTION
Kim, Yong-Sup ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 167~176
DOI : 10.5831/HMJ.2009.31.2.167
Abstract
The aim of this paper is to obtain three interesting results for reducibility of Kamp
de
riet function. The results are derived with the help of contiguous Gauss's second summation formulas obtained earlier by Lavoie et al. The results obtained by Bailey, Rathie and Nagar follow special cases of our main findings.
5
RULED SURFACES OF FINITE TYPE IN LORENTZIAN SPACE-TIMES
Kim, Dong-Soo ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 177~183
DOI : 10.5831/HMJ.2009.31.2.177
Abstract
In this article, we study ruled surfaces in a Lorentzian space-time, which have finite type immersion. We give a condition for bi-finite type surfaces to be of finite type.
6
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A NONFLAT COMPLEX SPACE FORM WHOSE STRUCTURE JACOBI OPERATOR IS ξ-PARALLEL
Kim, Nam-Gil ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 185~201
DOI : 10.5831/HMJ.2009.31.2.185
Abstract
Let M be a real hypersurface with almost contact metric structure
of a nonflat complex space form whose structure Jacobi operator
is
-parallel. In this paper, we prove that the condition
characterize the homogeneous real hypersurfaces of type A in a complex projective space
or a complex hyperbolic space
when
is constant.
7
ON SYMMETRIC GENERALIZED 3-DERIVATIONS AND COMMUTATIVITY IN PRIME NEAR-RINGS
Park, Kyoo-Hong ; Jung, Yong-Soo ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 203~217
DOI : 10.5831/HMJ.2009.31.2.203
Abstract
In this note, we introduce a symmetric generalized 3-derivation in near-rings and investigate some conditions for a nearring to be a commutative ring.
8
ON FUNCTIONAL INEQUALITIES CONNECTED WITH INTERTWINING MAPPINGS
Lee, Eun-Hwi ; Chang, Ick-Soon ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 219~231
DOI : 10.5831/HMJ.2009.31.2.219
Abstract
For a mapping satisfying the inequality
, we will study the stability problem of this mapping.
9
STRONG τ-MONOLITHICITY AND FRECHET-URYSOHN PROPERTIES ON C
_{p}
(X)
Kim, Jun-Hui ; Cho, Myung-Hyun ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 233~237
DOI : 10.5831/HMJ.2009.31.2.233
Abstract
In this paper, we show that: (1) every strongly
-monolithic space X with countable fan-tightness is Fr
chet-Urysohn; (2) a direct proof of that X is Lindel
f when
(X) is Fr
chet-Urysohn; and (3) X is Lindel
f when X is paraLindel
f and
(X) is AP. (3) is a generalization of the result of [8]. And we give two questions related to Fr
chet-Urysohn and AP properties on
(X).
10
m-SEMIOPEN SETS AND M-SEMICONTINUOUS FUNCTIONS ON SPACES WITH MINIMAL STRUCTURES
Min, Won-Keun ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 239~245
DOI : 10.5831/HMJ.2009.31.2.239
Abstract
In this paper, we introduce the notions of m-semiopen sets and M-semicontinuous functions on spaces with minimal structures and study some properties of such notions. In particular, we investigate characterizations for the M-semicontinuous function and the relationship between M-continuity and M-semicontinuity.
11
MIXED VECTOR FQ-IMPLICIT VARIATIONAL INEQUALITIES WITH FQ-COMPLEMENTARITY PROBLEMS
Lee, Byung-Soo ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 247~258
DOI : 10.5831/HMJ.2009.31.2.247
Abstract
This paper introduces new mixed vector FQ-implicit variational inequality problems and corresponding mixed vector FQ-implicit complementarity problems for set-valued mappings, and studies the equivalence between them under certain assumptions in Banach spaces. It also derives some new existence theorems of solutions for them with examples under suitable assumptions without monotonicity. This paper generalizes and extends many results in [8, 10, 19-22].
12
POSITIVE INTERPOLATION ON Ax = y AND AX = Y IN ALG
Kang, Joo-Ho ;
Honam Mathematical Journal, volume 31, issue 2, 2009, Pages 259~265
DOI : 10.5831/HMJ.2009.31.2.259
Abstract
Let
be a subspace lattice on a Hilbert space
. Let x and y be vectors in
and let
be the projection onto sp(x). If
=
for each E
, then the following are equivalent. (1) There exists an operator A in Alg
such that Ax = y, Af = 0 for all f in
and A
0. (2) sup
<
< x, y >
0. Let X and Y be operators in
. Let P be the projection onto
. If PE = EP for each E
, then the following are equivalent: (1) sup
<
and < Xf, Yf >
0 for all f in H. (2) There exists a positive operator A in Alg
such that AX = Y.