Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ISOMETRIES IN PROBABILISTIC 2-NORMED SPACES

  • Rahbarnia, F. (Department of Mathematics, Ferdowsi University of Mashhad) ;
  • Cho, Yeol Je (Department of Mathematics Education and the RINS, Gyeongsang National University) ;
  • Saadati, R. (Department of Mathematics and Computer Science, Amirkabir University of Technology) ;
  • Sadeghi, Gh. (Department of Mathematics, Ferdowsi University of Mashhad)
  • Received : 2009.04.22
  • Accepted : 2009.08.25
  • Published : 2009.12.30
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Abstract

The classical Mazur-Ulam theorem states that every surjective isometry between real normed spaces is affine. In this paper, we study 2-isometries in probabilistic 2-normed spaces.

Keywords

Acknowledgement

Supported by : Ferdowsi University of Mashhad

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