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조총만 한국수학사학회 2000 Journal for history of mathematics Vol.13 No.2
In this paper, we explore the origin of the notion of an M-ideal, and appreciate the richness of algebraic and geometric properties of an M-ideal.
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Hereditary properties of certain ideals of compact operators
조총만,Eun Joo Lee 대한수학회 2004 대한수학회보 Vol.41 No.3
Let $X$ be a Banach space and $Z$ a closed subspace of a Banach space $Y.$ Denote by $\CL(X,Y)$ the space of all bounded linear operators from $X$ to $Y$ and by $\CK(X,Y)$ its subspace of compact linear operators. Using Hahn-Banach extension operators corresponding to ideal projections, we prove that if either $X^{**}$ or $Y^*$ has the Radon-Nikod$\acute{y}$m property and $\CK(X,Y)$ is an $M$-ideal (resp. an $HB$-subspace) in $\CL(X,Y),$ then $\CK(X,Z)$ is also an $M$-ideal (resp. $HB$-subspace) in $\CL(X,Z).$ If $\CK(X,Y)$ has property $SU$ instead of being an $M$-ideal in $\CL(X,Y)$ in the above, then $\CK(X,Z)$ also has property $SU$ in $\CL(X,Z).$ If $X$ is a Banach space such that $X^*$ has the metric compact approximation property with adjoint operators, then $M$-ideal (resp. $HB$-subspace) property of $\CK(X,Y)$ in $\CL(X,Y)$ is inherited to $\CK(X,Z)$ in $\CL(X,Z).$
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조총만 한양대학교 자연과학연구소 2001 自然科學論文集 Vol.20 No.-
(Xn)을 유한차원 바나하 공간 Xn들의 수열이라 하고 X를 (∑Xn)Co(또는 (∑X n)p,1<p<∞)라 하자. Pn이 X에서 Xn 위로의 자연사영일 때, X내의 연속선형작용소 T가 limninf || PnTPn || ≤ M을 만족하면 임의의 ε>0에 대하여 || PTP || <M+ ε을 만족하는 자연수의 부분수열 (Kn)과 X에서 (∑Kn)Co (또는 (∑PKn)p) 위로의 자연사영 P가 존재한다. Suppose (Xn) is a sequence of finite dimensional Banach spaces Xn's and X is (∑Xn) Co(or (∑X n)p,)1<p<∞). If T is a bounded linear operator in X such that limninf || PnTPn || ≤ M, then for any ε>0, there exists a strictly increasing sequence (Kn) of natural numbers such that || PTP || <M+ εfor the natural projection P from X onto (∑Kn)Co (or (∑XKn)p, 1<p<∞).
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조총만 한국수학사학회 2001 Journal for history of mathematics Vol.14 No.1
In this paper, we investigate the development of Banach space theory in the early stage in historical point of view.
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조총만 漢陽大學校 自然科學硏究所 1999 自然科學論文集 Vol.18 No.-
Y가 ??(1<p<∞)의 폐부분공간으로 콤팩 어프럭시메이션 성질을 가지면 l₁에서 Y로의 콤팩작용소 공간 K(l₁, Y)는 l₁에서 Y로의 선형연속작용소 공간L(l₁, Y)내에서 M-아이디얼이 되지못함을 증명하였다. It is proved that K(l₁, Y), the space of compact operators from l₁ to Y is not an M-ideal in L(l₁, Y), the space of bounded linear operators from l₁ to Y if Y is a closed subspace of lp(1<p<∞) which has the compact approximation property.
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On embeddings of separable Banach spaces
조총만 漢陽大學校 基礎科學硏究所 1991 基礎科學論文集 Vol.10 No.-
Bounded approximation property를 갖는 separable 반하공간은 항상 finite dimensional decomposition을 갖는 반하공간의 complemented 부분공간과 ismorphic 하고 또 finite demensional decomposition 을 갖는 separable 반하공간은 항상 schauder basis를 갖는 어떤 반하공간의 L-summand가 됨이 증명되었다. It is proved that a separable Banach space with the bounded approximation property is isomorphic to a complemented subspace of a Banach space with the finite dimensional decoposition and every Banach space with the finite demensional decomposition is an L-summand of Banach space with a Schauder basis.
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조총총,고흥,조숙영 인문사회 21 2023 인문사회 21 Vol.14 No.3
The purpose of this study was to examine the mediating effects of learning strategies and self-efficacy in the relationship between academic beliefs and academic achievement among Korean university students taking general education courses in Chinese. A survey was conducted with 198 Korean university students taking Chinese general education courses from four universities in Gwangju and Jeonnam regions. Correlation coefficients and structural equation model verification, as well as mediation effects, were analyzed using SPSS 24.0 and AMOS 24.0 programs. The mediating effect of learning strategy and self-efficacy was analyzed in the relationship between academic beliefs and academic achievement of Korean University students taking liberal arts courses in Chinese. Academic beliefs were shown to have a significant effect on learning strategies and self-efficacy, and the effects of academic beliefs on academic achievement were statistically significant. Learning strategy was analyzed to have an impact on academic achievement, and self-efficacy was found to have an impact on academic achievement. Through this, it will be possible to provide basic information to establish desirable educational policies that promote more effective and efficient educational support and quality improvement for Chinese learners.
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A Note on M-Ideals of Certain Compact Operators
Cho,Chong-Man,Kim,Beom-Sool 漢陽大學校 自然科學硏究所 1997 自然科學論文集 Vol.16 No.-
모든 n에 대하여 ??이 유한차원 바나하공간이고 ?????이며 Y가 X의 폐부분 공간이면 콤팩연산자 공간 K(X,Y)가 연속연산자 공간 L(X,Y)내에서 M-아이디얼이 됨을 증명했음. It is proved that if X is a ??-sum of a sequence ??? of finite dimensional Banach spaces ???s and Y is a closed subspace of X, then K(X,Y), the space of compact operators form X to Y is an M-ideal in L(X,Y), the space of continuous operators form X to Y.
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A Note on a Distance Formula in a Certain Space of Operators
Cho, Chong-Man 漢陽大學校 自然科學硏究所 2001 自然科學論文集 Vol.21 No.-
1≤p<∞에 대하여 L(l_1, l_p)를 l_1에서 l_p로의 유계선형작용소들의 바나하공간이라 하고 K(l_1, l_p)를 l_1에서 l_p로의 콤팩트 선형작용소들의 부분공간이라 하자. 모든 자연수 n에 대하여 P_n을 l_1상의 자연사영이라 할 때 작용소 T∈L(l_1, l_p)에서 K(l_1, l_p)까지의 거리 d(T, K(l_1, l_p))는 ? ∥T-TP_n∥이다. For 1≤p<∞, let L(l_1, l_p) denote the banach space of all bounded linear operator from l_1 to l_p and K(l_1, l_p) denote the subspace of L(l_1, l_p) of all compact linear operators from l_1 to l_p. For a natural number n, let P_n be the natural projection on l_1 picking up the first n coordinates of vector in l_1. Then the distance d(T, K(l_1, l_p)) from T∈L(l_1, l_p) to K(l_1, l_p) is given by ? ∥T-TP_n∥이다.
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A note on the Brouwer fixed point theorem
Cho,Chong-Man 圓光大學校 1973 論文集 Vol.7 No.-
As well known, using homology theory we can prove the Brouwer fixed point theorem[3]. In this paper we want to verify the Brouwer fixed point theorem by using K-theory. We assume that X is a compace Hausdorff space throughout this paper. By Vect (X) we mean the set of all isomorphism classes of complex vector bundles over X.
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