Locally convex inductive limit cones

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

In this paper, we define inductive limit cone topologies by the equivalence
relations which leads to the notion with the linear mappings. The definition
involves the quotient cones, direct sums, as well as the locally convex
topological vector spaces. In particular, the duality properties and
barreldness of the inductive limit cones have been discussed.

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