Some results on the uniform boundedness theorem in locally convex cones

Abstract

Walter Roth studied one form of the uniform boundedness theorem in \cite{Rot98}. We investigate some other versions of the uniform boundedness theorem for barreled and upper-barreled locally convex cones. Finally, we show some applications of this theorem.

Full Text

Article Information

Title	Some results on the uniform boundedness theorem in locally convex cones
Source	Methods Funct. Anal. Topology, Vol. 15 (2009), no. 4, 361-368
MathSciNet	MR2603834
Copyright	The Author(s) 2009 (CC BY-SA)

Authors Information

Asghar Ranjbari
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Husain Saiflu
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran 

Citation Example

Asghar Ranjbari and Husain Saiflu, Some results on the uniform boundedness theorem in locally convex cones, Methods Funct. Anal. Topology 15 (2009), no. 4, 361-368.

BibTex

@article {MFAT467,
    AUTHOR = {Ranjbari, Asghar and Saiflu, Husain},
     TITLE = {Some results on the uniform boundedness  theorem in locally convex cones},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {15},
      YEAR = {2009},
    NUMBER = {4},
     PAGES = {361-368},
      ISSN = {1029-3531},
  MRNUMBER = {MR2603834},
       URL = {http://mfat.imath.kiev.ua/article/?id=467},
}