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Barreledness in locally convex direct sum cones
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We investigate the direct sum of barrel subsets in locally convex cones and
present necessary and sufficient conditions for the barrelness of subsets in
direct sum cones. This leads us to prove a direct sum locally convex cone
topology is barreled if and only if its components are barreled.
Title: Barreledness in locally convex direct sum cones
Description:
We investigate the direct sum of barrel subsets in locally convex cones and
present necessary and sufficient conditions for the barrelness of subsets in
direct sum cones.
This leads us to prove a direct sum locally convex cone
topology is barreled if and only if its components are barreled.
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