• D-boundedness andD-compactness in finite dimensional probabilistic normed spaces

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      https://www.ias.ac.in/article/fulltext/pmsc/115/04/0483-0492

    • Keywords

       

      Probabilistic normed space; finite dimensional normed space; D-bounded; D-compact

    • Abstract

       

      In this paper, we prove that in a finite dimensional probabilistic normed space, every two probabilistic norms are equivalent and we study the notion ofD-compactness and D-boundedness in probabilistic normed spaces.

    • Author Affiliations

       

      Reza Saadati1 2 Massoud Amini3

      1. Department of Mathematics, Islamic Azad University-Ayatollah Amoli Branch, Iran
      2. Institute for Studies in Applied Mathematics, 1, 4th Fajr, Amol - 46176-54553, Iran
      3. Department of Mathematics, Tarbiat Modarres University, P.O. Box 14115-175, Tehran, Iran
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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