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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 19, Issue 4 - Oct 2004
Volume 19, Issue 3 - Jul 2004
Volume 19, Issue 2 - Apr 2004
Volume 19, Issue 1 - Jan 2004
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1
ON THE SEMIATOMICITY FOR COMPLETELY RIGHT INJECTIVE SEMIGROUPS
Moon, Eun-Ho ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 1~10
DOI : 10.4134/CKMS.2004.19.1.001
Abstract
We here consider necessary and sufficient conditions for a completely right injective semigroup S whose lattice Ｌ(S) of right congruences on S is semiatomic. These are preceded by a number of results on the characterization of a semigroup S in which every automaton over S is injective(called a completely right injective semigroup).
2
FOLDING THEORY OF IMPLICATIVE/FANTASTIC FILTERS IN LATTICE IMPLICATION ALGEBRAS
Jun, Young-Bae ; Song, Seok-Zun ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 11~21
DOI : 10.4134/CKMS.2004.19.1.011
Abstract
We discuss the n-fold implicative/fantastic filters in lattice implication algebras, which are extended notions of implicative/fantastic filters. Characterizations of n-fold implicative/fantastic filters are given. Conditions for a filter to be n-fold implicative are provided. Extension property for an n-fold fantastic filter is established.
3
NORMS AND UNITS ON THE BASIC ℤ
_{3}
-EXTENSION OF CERTAIN CUBIC FIELDS
Oh, Jang-Heon ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 23~27
DOI : 10.4134/CKMS.2004.19.1.023
Abstract
In this paper we explicitly compute the orders of ambiguous ideal class groups of layers of the basic
of certain cubic fields and give an example for Greenberg's conjecture.
4
A STUDY ON EQUIVALENT FORMS OF THE AXIOM OF CHOICE IN AN WELL-POINTED TOPOS
Kim, Ig-Sung ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 29~34
DOI : 10.4134/CKMS.2004.19.1.029
Abstract
There are various forms of the axiom of choice and also various weak forms of the axiom of choice in a topos. This paper give equivalent forms of the axiom of choice in a well-pointed topos.
5
FUZZY CLOSURE SYSTEMS AND FUZZY CLOSURE OPERATORS
Kim, Yong-Chan ; Ko, Jung-Mi ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 35~51
DOI : 10.4134/CKMS.2004.19.1.035
Abstract
We introduce fuzzy closure systems and fuzzy closure operators as extensions of closure systems and closure operators. We study relationships between fuzzy closure systems and fuzzy closure spaces. In particular, two families F(S) and F(C) of fuzzy closure systems and fuzzy closure operators on X are complete lattice isomorphic.
6
HARDY-LITTLEWOOD PROPERTY WITH THE INNER LENGTH METRIC
Kim, Ki-Won ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 53~62
DOI : 10.4134/CKMS.2004.19.1.053
Abstract
A result of Hardy and Littlewood relates Holder continuity of analytic functions in the unit disk with a bound on the derivative. Gehring and Martio extended this result to the class of uniform domains. We call it the Hardy-Littlewood property. Langmeyer further extended their result to the class of John disks in terms of the inner length metric. We call it the Hardy-Littlewood property with the inner length metric. In this paper we give several properties of a domain which satisfies the Hardy-Littlewood property with the inner length metric. Also we show some results on the Holder continuity of conjugate harmonic functions in various domains.
7
ITERATIVE APPROXIMATION OF FIXED POINTS FOR φ-HEMICONTRACTIVE OPERATORS IN BANACH SPACES
Liu, Zeqing ; An, Zhefu ; Li, Yanjuan ; Kang, Shin-Min ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 63~74
DOI : 10.4134/CKMS.2004.19.1.063
Abstract
Suppose that X is a real Banach space, K is a nonempty closed convex subset of X and T :
is a uniformly continuous ø-hemicontractive operator or a Lipschitz
operator. In this paper we prove that under certain conditions the three-step iteration methods with errors converge strongly to the unique fixed point of T. Our results extend the corresponding results of Chang [1], Chang et a1. [2], Chidume [3]-[7], Chidume and Osilike [9], Deng [10], Liu and Kang [13], [14], Osilike [15], [16] and Tan and Xu [17].
8
THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS
Dargomir, S.S. ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 75~92
DOI : 10.4134/CKMS.2004.19.1.075
Abstract
A generalised integration by parts formula for sequences of absolutely continuous functions that satisfy the
condition and different estimates for the remainder are provided. Applications for particular instances of such sequences are pointed out as well.
9
MULTIPLE L
_{p}
ANALYTIC GENERALIZED FOURIER-FEYNMAN TRANSFORM ON THE BANACH ALGEBRA
Chang, Seung-Jun ; Choi, Jae-Gil ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 93~111
DOI : 10.4134/CKMS.2004.19.1.093
Abstract
In this paper, we use a generalized Brownian motion process to define a generalized Feynman integral and a generalized Fourier-Feynman transform. We also define the concepts of the multiple Lp analytic generalized Fourier-Feynman transform and the generalized convolution product of functional on function space
. We then verify the existence of the multiple
analytic generalized Fourier-Feynman transform for functional on function space that belong to a Banach algebra
. Finally we establish some relationships between the multiple
analytic generalized Fourier-Feynman transform and the generalized convolution product for functionals in
.ﾖ⨀
10
HAUSDORFF DIMENSION OF DERANGED CANTOR SET WITHOUT SOME BOUNDEDNESS CONDITION
Baek, In-Soo ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 113~117
DOI : 10.4134/CKMS.2004.19.1.113
Abstract
A deranged Cantor set (without the uniform bounded-ness condition away from zero of contraction ratios) whose weak local dimensions for all points coincide has its Hausdorff dimension of the same value of weak local dimension. We will show it using an energy theory instead of Frostman's density lemma which was used for the case of the deranged Cantor set with the uniform boundedness condition of contraction ratios. In the end, we will give an example of such a deranged Cantor set.
11
PERTURBATION OF WAVELET FRAMES AND RIESZ BASES I
Lee, Jin ; Ha, Young-Hwa ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 119~127
DOI : 10.4134/CKMS.2004.19.1.119
Abstract
Suppose that
generates a wavelet frame (resp. Riesz basis) with bounds A and B. If
satisfies $
\^{\psi}(\xi)\;\^{\phi}(\xi)
{\;}<{\;}{\lambda}\frac{
\xi
^{\alpha}}{(1+
\xi
)^{\gamma}}$ for some positive constants
such that $1{\;}<1{\;}+{\;}\alpha{\;}<{\;}\gamma{\;}and{\;}{\lambda}^2M{\;}<{\;}A$, then
also generates a wavelet frame (resp. Riesz basis) with bounds
, where M is a constant depending only on
the dilation step a, and the translation step b.
12
ON CONTACT SLANT SUB MANIFOLD OF L ×
_{f}
F
Sohn, Won-Ho ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 129~134
DOI : 10.4134/CKMS.2004.19.1.129
Abstract
It is well known that the warped product
of a line L and a Kaehler manifold F is an almost contact Riemannian manifold which is characterized by some tensor equations appeared in (1.7) and (1.8). In this paper we determine contact slant submanifolds tangent to the structure vector field of
.
13
DERIVATIONS ON CR MANIFOLDS
Ryu, Jeong-Seog ; Yi, Seung-Hun ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 135~141
DOI : 10.4134/CKMS.2004.19.1.135
Abstract
We studied the relation between the tangential Cauchy-Riemann operator
CR-manifolds and the derivation
associated to the natural projection map
. We found that these two differential operators agree only on the space of functions
is involutive as well. We showed that the difference is a derivation, which vanishes on
, and it is induced by the Nijenhuis tensor associated to
.
14
WEAK SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES
Park, Chun-Kee ; Min, Won-Keun ; Kim, Myeong-Hwan ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 143~153
DOI : 10.4134/CKMS.2004.19.1.143
Abstract
In [3] and [6] the concepts of smooth closure, smooth interior, smooth
and smooth
of a fuzzy set were introduced and some of their properties were obtained. In this paper, we introduce the concepts of several types of weak smooth compactness and weak smooth
in terms of these concepts introduced in [3] and [61 and investigate some of their properties.
15
HOPF FIBRATIONS ON LENS SPACES
Hong, Sung-Bok ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 155~158
DOI : 10.4134/CKMS.2004.19.1.155
Abstract
We give a certain uniqueness properties for the fiber of the Hopf fibration on lens spaces.
16
A MINIMUM THEOREM FOR THE RELATIVE ROOT NIELSEN NUMBER
Yang, Ki-Yeol ; Zhao, Xuezhi ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 159~167
DOI : 10.4134/CKMS.2004.19.1.159
Abstract
In [1], a relative root Nielsen number
is introduced which is a homotopy invariant lower bound for the number of roots at
for a map of pairs of spaces
. In this paper, we obtain a minimum theorem for
under some new assumptions on the spaces and maps which are different from those in [1].
17
ESTIMATION OF THE DISTRIBUTION FUNCTION FOR STATIONARY RANDOM FIELDS OF ASSOCIATED PROCESSES
Kim, Tae-Sung ; Ko, Mi-Hwa ; Yoo, Yeon-Sun ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 169~177
DOI : 10.4134/CKMS.2004.19.1.169
Abstract
For a stationary field
of associated random variables with distribution function
we study strong consistency and asymptotic normality of the empirical distribution function, which is proposed as an estimator for F(x). We also consider strong consistency and asymptotic normality of the empirical survival function by applying these results.
18
MULTIOBJECTIVE VARIATIONAL PROGRAMMING UNDER GENERALIZED VECTOR VARIATIONAL TYPE I INVEXITY
Kim, Moon-Hee ;
Communications of the Korean Mathematical Society, volume 19, issue 1, 2004, Pages 179~196
DOI : 10.4134/CKMS.2004.19.1.179
Abstract
Mond-Weir type duals for multiobjective variational problems are formulated. Under generalized vector variational type I invexity assumptions on the functions involved, sufficient optimality conditions, weak and strong duality theorems are proved efficient and properly efficient solutions of the primal and dual problems.