Brian B. Rodrigues
Abstract
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summary: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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summary: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.
Key concepts: Locally convex topological vector space, Mathematics, Topological vector space, Topological tensor product, Dual pair, Closed graph theorem, Vector space, Dual space