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Sequentially complete inductive limits and regularity

Claudia Gomez-Wulschner, Jan Kučera (2004)

Czechoslovak Mathematical Journal

A notion of an almost regular inductive limits is introduced. Every sequentially complete inductive limit of arbitrary locally convex spaces is almost regular.

Some new classes of topological vector spaces with closed graph theorems

Brian Rodrigues (1991)

Commentationes Mathematicae Universitatis Carolinae

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.

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