Bornological Locally Convex Cones

Authors

  • Davood Ayaseh University of Tabriz
  • Asghar Ranjbari University of Tabriz

Keywords:

Locally convex cones, Bornological Cones

Abstract

In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept  of bornological spaces. We introduce and investigate the  convex quasiuniform   structures U_{tau}, U_{sigma}(P,P*) and \U_{beta}(P,P*) on locally convex cone (P,U).

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Published

2014-10-14

Issue

Vol. 69 No. 2 (2014)

Section

Articoli

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