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桂勝赫 성심여자대학부설 자연과학연구소 1985 자연과학논문집 Vol.7 No.-
최근 Rieffel, Pimsner, Voiculescu 등에 의하여 발전된 無理回轉에代數와 그것의 K-理論 및 그 일반화를 검토한다. We review the C-algebras associated with irrational rotations and their K-theory, recontly developed by Rieffel, Pimsner and Voiculescu. Also, we briefly discuss several generalizations of the above results.
BOUNDARIES OF THE CONE OF POSITIVE LINEAR MAPS AND ITS SUBCONES IN MATRIX ALGEBRAS
Kye, Seung-Hyeok Korean Mathematical Society 1996 대한수학회지 Vol.33 No.3
Let $M_n$ be the $C^*$-algebra of all $n \times n$ matrices over the complex field, and $P[M_m, M_n]$ the convex cone of all positive linear maps from $M_m$ into $M_n$ that is, the maps which send the set of positive semidefinite matrices in $M_m$ into the set of positive semi-definite matrices in $M_n$. The convex structures of $P[M_m, M_n]$ are highly complicated even in low dimensions, and several authors [CL, KK, LW, O, R, S, W]have considered the possibility of decomposition of $P[M_m, M_n] into subcones.
Relations between Fubini Products and Commutation Results for C*-Tensor Products
Kye, Seung-Hyeok 聖心女子大學校 1985 論文集 Vol.17 No.-
교환자의 푸비니곱 ??가 텐서곱의 교환자 ??에 포함됨을 보였다. 또한 두집단합이 일치할 필요충분 조건을 구하였다. We show that the Fubini product ?? of commutants is contained in the commutants ?? of tensor product. Also , we give a necessary and sufficient condition for which the above two sets coincide. These results clear up some confusion in the literature.
Duality of Topological Vector Spaces with respect to the Mackey Topology
Kye, Seung-Hyeok 가톨릭대학교 자연과학연구소 1990 자연과학논문집 Vol.11 No.-
위상벡터공간 E이 쌍대공간 E^(*)에 Mackey위상을 주었을 때, E에서 E^(**)로 가는 평가사상이 연속일 조건에 대하여 연구하였다. We investigate the conditions when the evaluation map E→E^(*_(τ)*_(σ)) is continuous, where τ or σ is the Mackey topology.
INTERSECTIONS OF MAXIMAL FACES IN THE CONVEX SET OF POSITIVE LINEAR MAPS BETWEEN MATRIX ALGEBRAS
Kye, Seung-Hyeok,Lee, Sa-Ge Korean Mathematical Society 1995 대한수학회논문집 Vol.10 No.4
Let $P_I$ be the convex compact set of all unital positive linear maps between the $n \times n$ matrix algebra over the complex field. We find a necessary and sufficient condition for which two maximal faces of $\cap P_I$ intersect. In particular, we show that any pair of maximal faces of $P_I$ has the nonempty intersection, whenever $n \geq 3$.