Finite dimensional locally convex cones
Copyright policy )Finite dimensional locally convex cones
We study the locally convex cones which have finite dimension. We introduce the Euclidean convex quasiuniform structure on a finite dimensional cone. In special case of finite dimensional locally convex topological vector spaces, the symmetric topology induced by the Euclidean convex quasiuniform structure reduces to the known concept of Euclidean topology. We prove that the dual of a finite dimensional cone endowed with the Euclidean convex quasiuniform structure is identical with it?s algebraic dual.
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- Islamic Azad University of Ahar Iran (Islamic Republic of)
General theory of locally convex spaces, finite dimensional cones, locally convex cones, Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
General theory of locally convex spaces, finite dimensional cones, locally convex cones, Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
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