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Displaying similar documents to “Bounded sets in ( E , F ) .”

Locally convex topologies in linear orthogonality spaces

Jerzy Kąkol, Pekka Sorjonen (1991)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.

The Mackey-Arens theorem for non-locally convex spaces.

Jerzy Kakol (1990)

Collectanea Mathematica

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Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.