Some new classes of topological vector spaces with closed graph theorems

Rodrigues, Brian

Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 287-296

Abstract (VO)

In this note, we investigate non-locally-convex topological vector spaces for which the closed graph theorem holds. In doing so, we introduce new classes of topological vector spaces. Our study includes a direct extension of Pták duality to the non-locally-convex situation.

Détail

Classification : 46A16, 46A30, 47A05
Keywords: inverse seminorm; Mackey seminorm; nearly-semi-continuous; semi-barrelled; semi-$B$-complete; semi-infra-(s); semi-Mackey

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