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邊龍聖 弘益大學校 科學技術硏究所 2005 科學技術硏究論文集 Vol.16 No.-
In this note, we study equivalent relationships and implication relationships among barrelled(quasibarrelled), countably barrelled, σ-barrelled, strongly-Mackey, sequentially barrelled(sequentially quasibarrelled), and *-barrelled(quasi *-barrelled) spaces.
邊龍聖 弘益大學校 科學技術硏究所 1996 科學技術硏究論文集 Vol.7 No.1
Let X be a completely regular Hausdorff space and E a Hausdorff locally convex topological vector space. Let C(X,E) be the vector space of all continuous functions on X with values in E, endowed with the comopact-open topology. In this note, we study the conditions of when the space C(X,E) is ??-barrelled or quasi ??-barrelled.
邊龍聖 弘益大學校 科學技術硏究所 2003 科學技術硏究論文集 Vol.14 No.-
In this note, we study equivalent relationships and implication relationships among barrelled(quasibarrelled), countably barrelled, *-barrelled, strongly-Mackey, sequentially barrelled(sequentially quasibarrelled), and *-barrelled(quasi *-barrelled) spaces.
邊龍聖 弘益大學校 科學技術硏究所 2002 科學技術硏究論文集 Vol.13 No.-
In this note, we study the followings: Let E and F be locally convex spaces and T: E → F a closed linear map with dense range. If E is a *-barrelled space, so is F. Also we investigate equivalent relationships and implication relationships among barrelled, quasibarrelled, sequentially barrelled, property(C), strongly Mackey, *-barrelled, quasi-M-barrelled, quasi *-barrelled and Banach Mackey spaces.
邊龍聖 弘益大學校 科學技術硏究所 1998 科學技術硏究論文集 Vol.9 No.1
In this note, we consider a condition for a quasi*-barrelled space(or sequentially quasibarrelled) to be sequentially barrelled. And we obtain that a quasi*-barrelled space is sequentially quasibarrelled. Finally we investigate equivalent relationships between barrelled, σ-barrelled and *-barrelled spaces, and strongly Mackey, *-barrelled and quasi*-barrelled spaces respectively.
Quasi-*-Barrelled 공간의 어떤 성질에 관한 연구
邊龍聖 弘益大學校 1993 弘大論叢 Vol.25 No.2
A new class of locally convex spaces, called quasi-*-barrelled spaces were introduced and characterized by Gayal [1]. In this note we investigate the characterizations of the quasi-*-barrelled spaces and study some properties for these spaces.
邊龍聖 弘益大學校 科學技術硏究所 1997 科學技術硏究論文集 Vol.8 No.-
In this note, we consider some conditions for a *-barrelled space to be barrelled, σ-barrelled and quasibarrelled respectively and for a quasi *-barrelled space to be quasibarrelled and σ-quasibarrelled respectively. And finally we study an equivalent condition between a *-barrelled space and a quasi *-barrelled space.