Some notes on bornological and nonbornological locally convex cones
AbstractBornological and b-bornological locally convex cones have studied in [D. Ayaseh and A. Ranjbari, Bornological Locally Convex Cones, Le Matematiche, Vol. LXIX (2014) Fasc. II, pp. 267-284]. In this paper, we obtain new results on bornological locally convex cones and present an example of nonbornological locally convex cone. We show that the projective
limit of bornological cones is not bornological in general. Also, we present a bornological locally convex cone which is not b-bornological.
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