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B. Rodrigues

Some new classes of topological vector spaces with closed graph theorems

Comment.Math.Univ.Carolinae 32,2 (1991) 287-296.

Abstract: 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 Pt´ak duality to the non-locally-convex situation.

Keywords: inverse seminorm, Mackey seminorm, nearly-semi-continuous, semi- barrelled, semi-B-complete, semi-infra-(s), semi-Mackey

AMS Subject Classification: 46A30, 47A05

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