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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 36, Issue 4 - Nov 1999
Volume 36, Issue 3 - Aug 1999
Volume 36, Issue 2 - May 1999
Volume 36, Issue 1 - Feb 1999
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1
ON THE FINSLER SPACES WITH f-STRUCTURE
Park, Hong-Suh ; Lee, Il-Yong ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 217~224
Abstract
In this paper the properties of the Finsler metrics compatible with an f-structure are investigated.
2
HARDY-LITTLEWOOD MAXIMAL FUNCTIONS IN ORLICZ SPACES
Yoo, Yoon-Jae ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 225~231
Abstract
Let Mf(x) be the Hardy-Littlewood maximal function on
. Let
and
be functions satisfying
(t) =
a(s)ds and
=
b(s)ds, where a(s) and b(s) are positive continuous such that
=
and b(s) is quasi-increasing. We show that if there exists a constant
so that
for all
, then there exists a constant
such that(0.1)
for all
. Conversely, if there exists a constant
satisfying the condition (0.1), then there exists a constant
so that
for all
> 0 and
.
3
THE GENERALIZED WITT ALGEBRAS USING ADDITIVE MAPS I
Nam, Ki-Bong ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 233~238
Abstract
Kawamoto generalized the Witt algebra using F[
] instead of F[x1,…, xn]. We construct the generalized Witt algebra
by using additive mappings g, h from a set of integers into a field F of characteristic zero. We show that the Lie algebra
is simple if a g and h are injective, and also the Lie algebra
has no ad-digonalizable elements.
4
SOME REMARKS ON DING'S VANISHING THEOREM OF
-INVARIANT AND MONOMIAL CONJECTRUE
Lee, Ki-Suk ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 239~246
Abstract
We extend the Ding's vanishing theorem of
-invariant slightly on a Cohen-Macaulay local ring using the concept of Golod paris. we also investigate the relation between the vanishing of
-invariant and Hochster's Monomial Conjecture.
5
LOCAL DERIVATIONS OF THE POLYNOMIAL RING OVER A FIELD
Yon, Yong-Ho ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 247~257
Abstract
In this article, we give an example of local derivation, that is not derivation, on the algebra F(x1,…, xn) of rational functions in x1, …, xn over an infinite field F, and show that if X is a set of symbols and {x1,…, xn} is a finite subset of X, n
1, then each local derivation of F[x1,…, xn] into F[X] is a F-derivation and each local derivation of F[X] into itself is also a F-derivation.
6
AVERAGE DISTANCES AND OCTAHEDRAL NORMS
Papini, Pier Luigi ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 259~272
Abstract
In [6], Godefroy defined octahedral norms to give an isomorphic characterization of spaces containing
. Here we will show that such norms can be defined by using "average distances" as introduced in[1]. Also, we indicate some other properties of average distances : in particular, we give some estimates for their values in the product of two spaces, furnished with the max or the sum norm.
7
THE WEAK LAW OF LARGE NUMBERS FOR RANDOMLY WEIGHTED PARTIAL SUMS
Kim, Tae-Sung ; Choi, Kyu-Hyuck ; Lee, Il-Hyun ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 273~285
Abstract
In this paper we establish the weak law of large numbers for randomly weighted partial sums of random variables and study conditions imposed on the triangular array of random weights {
} and on the triangular array of random variables {
} which ensure that
converges In probability to 0, where {
} is a centering array of constants or random variables.
8
ON A FUNCTIONAL EQUATION ASSOCIATED WITH STOCHASTIC DISTANCE MEASURES
Sahoo, P.K. ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 287~303
Abstract
The general solution of the functional equation f1(pr, qs) + f2(ps, qr) = g(p,q) + h(r,s) for p, q, r, s
] 0, 1[will be investigated without any regularity assumptions on the unknown functions f1, f2, g, h:]0.1[->R.
9
ON THE PRUSS EXTENSION OF THE HSU-ROBBINS-ERD S THEOREM
Sung, Soo-Hak ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 305~314
Abstract
The Hsu-Robbins-erd s theorem states that if {
} is a sequence of independent and identically distributed random variables, then ${EX_1}^2<\infty$ and
=0 if and only if ${\sum_{n=1}}^\infty\;P(
{\sum_{k=1}}^nX_k
\geqn\in)<\infty$ for every
> 0. Under some auxiliary conditions, Sp taru (1994) extended this to the case where the
are independent, but their distributions come from a finite set. Pruss (1996) proved Sp taru's result under weaker conditions, The purpose of this paper is to improve Pruss conditions.
10
ON NON-PROPER PSEUDO-EINSTEIN RULED REAL HYPERSURFACES IN COMPLEX SPACE FORMS
Suh, Young-Jin ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 315~336
Abstract
In the paper [12] we have introduced the new kind of pseudo-einstein ruled real hypersurfaces in complex space forms
, which are foliated by pseudo-Einstein leaves. The purpose of this paper is to give a geometric condition for non-proper pseudo-Einstein ruled real hypersurfaces to be totally geodesic in the sense of Kimura [8] for c> and Ahn, Lee and the present author [1] for c<0.
11
A MASCHKE-TYPE THEOREM FOR THE GRADED SMASH COPRODUCT
Kim, Eun-Sup ; Park, Young-Soo ; Yoon, Suk-Bong ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 337~342
Abstract
M. Cohen and S. Montgomery showed that a Maschke-type theorem for the smash product, which unlike the corresponding result for group actions, does not require any assumptions about the characterstic of the algebra. Our purpose in this paper is a Maschke-type theorem for the graded smash coproduct C
kG : let V be a right C
kG-comodule and W a C
kG-subcomoduleof V which is a C-direct summand of V. Then W is a C
kG-direct summand of V. Also this result is equivalent to the following : let V be a graded right C-comodule and W a graded subcomodule of V which has a complement as a C-subcomodule of V. Then W has a graded complement.
12
COGRADIENTS IN FUZZY BCK-ALGEBRAS
Kim, Hee-Sik ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 343~349
Abstract
In this paper we apply the notion of
and
to fuzzy BCK-algebra, and show that
is cogradient to a partial order of the BCK-algebra.
13
A DOUBLY COMMUTING PAIR OF HYPONORMAL OPERATORS
Kim, Yong-Tae ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 351~355
Abstract
If (
,
) is a doubly commuting pair of hyponormal operators on a Hilbert spaces H, then there exists a commuting pair (
,
) of contractions on H such that
=
for each i=1,2.
14
ESSENTIAL SPECTRA OF TOEPLITZ OPERATORS
Wong, M.W. ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 357~361
Abstract
The essential spectra for a class of Toeplitz operators on p, 1
p
, are computed.
15
ESTIMATING CONVERGENCE FACTORS OF SCHWARZ ALGORITHMS FOR ORTHOGONAL SPLINE COLLOCATION METHOD
Kim, Sang-Dong ; Kim, Seok-Chan ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 363~370
Abstract
A new and simple estimate using a convex function for convergence factors of Schwarz algorithms orthogonal spline collocation method is presented. The estimated convergence factors in this context depend only on a way to split a given domain.
16
COMPARISON EXAMPLES ON GENERALIZED QUASI-VARIATIONAL INEQUALITIES
Kum, Sang-Ho ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 371~377
Abstract
The purpose of this paper is to provide two examples which prove that Cubiotti's theorem and Yao's one on the generalized quasi-variational inequality problem are independent of each other. In addition, we give another example which tells us that certain conditions are essential in Cubiotti's theorem and Yao's one.
17
A METRIC ON NORMED ALMOST LINEAR SPACES
Lee, Sang-Han ; Jun, Kil-Woung ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 379~388
Abstract
In this paper, we introduce a semi-metric on a normed almost linear space X via functional. And we prove that a normed almost linear space X is complete if and only if
and
are complete when X splits as X=
+
. Also, we prove that the dual space
of a normed almost linear space X is complete.
18
v-PATHS OF ARCS IN REGULAR MULTIPARTITE TOURNAMENTS
Yao, Tianxing ; Guo, Yubao ; Zhang, Kemin ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 389~394
Abstract
A v-path of an arc xy in a multipartite tournament T is an oriented oath in T-y which starts at x such that y does not dominate and end vertex of the path. We show that if T is a regular n-partite (n
7) tournament, then every arc of T has a v-path of length m for all m satisfying 2
m
n-2. Our result extends the corresponding result for regular tournaments, due to Alspach, Reid and Roselle [2] in 1974, to regular multipartite tournaments.
19
DISK-HOMOGENEOUS RIEMANNIAN MANIFOLDS
Lee, Sung-Yun ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 395~402
Abstract
We introduce the notion of strongly k-disk homogeneous apace and establish a characterization theorem. More specifically, we prove that any analytic Riemannian manifold (M,g) of dimension n which is strongly k-disk homogeneous with 2
k
n-1 is a space of constant curvature. Its K hler analog is obtained. The total mean curvature homogeneity of geodesic sphere in k-disk is also considered.
20
ON THE COUNTABLE COMPACTA AND EXPANSIVE HOMEOMORPHISMS
Kim, In-Su ; Kato, Hisao ; Park, Jong-Jin ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 403~409
Abstract
In this paper we introduce the notions of expansive homeomorphism and its properties, and study the relation between countable compacta and ordinal numbers. Our results extend and improve those of T.Kimura and others.
21
THE JUMP NUMBER OF THE PRODUCT OF GENERALIZED CROWNS
Bae, Deok-Rak ; Kim, Jong-Youl ; Lee, Jeh-Gwon ;
Bulletin of the Korean Mathematical Society, volume 36, issue 2, 1999, Pages 411~417
Abstract
in this paper, we determine the jump number of the product of generalized crowns: s(
) = 2(m+1)(n+k)+2(m-2)(n-2)-1.