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
JafarizadS., and RanjbariA. “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