Some applications of the open mapping theorem in locally convex cones

  • S. Jafarizad Univ. Tabriz, Iran
  • A. Ranjbari Univ. Tabriz, Iran
Keywords: Locally convex cones, adjoint, open mapping, uc-cone LATEXstyle

Abstract

UDC 515.12

We show that a continuous open linear operator preserves the completeness and barreledness in locally convex cones.  Specially, we prove some relations between an open linear operator and its adjoint in  $uc$-cones (locally convex cones which their convex quasi-uniform structures are generated by one element).

 

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Published
19.03.2021
How to Cite
Jafarizad, S., and A. Ranjbari. “Some Applications of the Open Mapping Theorem in Locally Convex Cones”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 3, Mar. 2021, pp. 425 -30, doi:10.37863/umzh.v73i3.222.
Section
Short communications