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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 24, Issue 1 - Jul 2002
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1
ASYMPTOTIC STABILITY OF SOME SEQUENCES RELATED TO INTEGRAL CLOSURE
ANSARI-TOROGHY, H. ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 1~8
Abstract
In this paper we will show that if E is an injective module over a commutative ring A, then the sequence of sets
is increasing and ultimately constant. Also we will obtain some results concerning the integral closure of ideals related to some modules.
2
A REMARK ON SOME INEQUALITIES FOR THE SCHATTEN p-NORM
HEDAYATIAN, K. ; BAHMANI, F. ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 9~23
Abstract
For a closed densely defined linear operator T on a Hilbert space H, let
denote the function which corresponds to T, the orthogonal projection from
onto the graph of T. We extend some ordinary norm ineqralites comparing
and
to the Schatten p-norm where A and B are bounded operators on H.
3
EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR CERTAIN SECOND-ORDER ODES
JU, HYEONG-KWAN ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 25~33
Abstract
In this paper we have shown conditions of R for the existence of the solution to the problem of the type
on the interval (0, R) with boundary and other conditions as in
for various
.
4
THE EXISTENCE OF SOLUTIONS OF LINEAR MULTIVARIABLE SYSTEMS IN DESCRIPTOR FROM FORM
AASARAAI, A. ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 35~41
Abstract
The solutions of a homogeneous system in state space form
are to the form
and the solutions of an inhomogeneous system
are to the form
. In this note we show that the solution of descriptor systems under some conditions exists, and is unique, moreover it is interesting to know the solutions of descriptor system are schematically like the solutions as in the state space form. Also we will give some algorithms to compute these solutions.
5
CARLEMAN INEQUALITIES FOR THE DIRAC AND LAPLACE OPERATORS AND STRONG UNIQUE CONTINUATION
KIM, YONNE MI ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 43~65
Abstract
6
GENERALIZATION OF A FIRST ORDER NON-LINEAR COMPLEX ELLIPTIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS IN SOBOLEV SPACE
MAMOURIAN, A. ; TAGHIZADEH, N. ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 67~73
Abstract
In this paper we discuss on the existence of general solution of Partial Differential Equations
in the Sololev Space
, that is generalization of a first order Non-linear Elliptic System of Partial Differential Equations
7
NIELSEN TYPE NUMBERS FOR PERIODIC POINTS ON THE COMPLEMENT
LIM, IN TAIK ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 75~86
Abstract
A Nielsen number
is a homotopy invariant lower bound for the number of fixed points on X-A where X is a compact connected polyhedron and A is a connected subpolyhedron of X. This number is extended to Nielsen type numbers
of least period n and
of the nth iterate on X-A where the subpolyhedron A of a compact connected polyhedron X is no longer path connected.
8
THE REPEATED ENVELOPING SEMIGROUP COMPACTIFICATIONS
FATTAHI, A. ; MILNES, P. ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 87~91
Abstract
This note consists of some efficient examples to support the notion of enveloping semigroup compactification and also employ this notion to obtain the universal reductive compactification.
9
ON THE S
^{1}
-EULER CHARACTERISTIC OF THE SPACE WITH A CIRCLE ACTION ii
HAN, SNAG-EON ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 93~101
Abstract
The
-Eule characteristics of X is defined by
, where G is the fundamental group of connected finite
-compact manifold or connected finite
-finite complex X and
is the first Hochsch ild homology group functor. The purpose of this paper is to find several cases which the
-Euler characteristic has a homotopic invariant.
10
APPLICATIONS OF A COLUMN-REDUCED ORTHOGONAL RATIONAL MATIRX FUNCTION
KIM, JEONGOOK ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 103~108
Abstract
Applications of a column-reduced orthogonal rational matrix function to McMillan degrees and Wiener-Hopf factorizations are considered.
11
SUFFICIENT CONDITIONS AND CONSTRUCTION OF SYMMETRIC BIBD
KANG, SUNGKWON ; JUNG, YOON-TAE ; LEE, JU-HYUN ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 109~119
Abstract
Some sufficient conditions on the existence and uniqueness of certain symmetric balanced incomplete block design are introduced. Also, a construction algorithm for the design and some examples are presented. The algorithm is developed based on the construction of subspaces of the three-dimensional vector space over a field.
12
A FUNCTIONAL CENTRAL LIMIT THEOREM FOR ASSOCIATED RANDOM FIELD
KIM, TAE-SUNG ; KO, MI-HWA ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 121~130
Abstract
In this paper we prove a functional central limit theorem for a field
of nonstationary associated random variables with $EX{\underline{j}}=0,\;E{\mid}X_{\underline{j}}{\mid}^{r+{\delta}}<{\infty}$ for some $r>2,\;{\delta}>0$and
for some ${\nu}>0$, where
. Our investigation implies and analogous result in the case associated random measure.
13
SOME PROPERTIES AROUND 1½ STARCOMPACT SPACES
CHO, MYUNG HYUN ; PARK, WON WOO ;
Honam Mathematical Journal, volume 24, issue 1, 2002, Pages 131~142
Abstract
A
-starcompact space has one of the most curious properties among the spaces of starcompactness. It is not too far away from countably compact spaces and may be considered as the first candidate for extending theorems about countably compact spaces. Unfortunately,
-starcompactness is not so easy to be recognized as 2-starcompactness which will follow from countable pracompactness. We investigate some properties around
-starcompact spaces.