Some structure theorems on locally convex cones of linear operators

Authors

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

Keywords:

Locally convex cones, Cones of linear operators

Abstract

In this paper we investigate the structure of C(P,Q) (the cone of all continuous linear operators from locally convex cone (P,U) into locally convex cone (Q,W), when (P,U) or (Q,W) are inductive or projective limit locally convex cones. We consider some special convex quasiuniform structures on C(P,Q), and prove some structure theorems.

Author Biographies

  • Davood Ayaseh, University of Tabriz
    Department of Pure Mathematics, Faculty of Mathematical Sciences
  • Asghar Ranjbari, University of Tabriz
    Department of Pure Mathematics, Faculty of Mathematical Sciences

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Published

2017-06-20

Issue

Vol. 72 No. 1 (2017)

Section

Articoli

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