Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

CHARACTERIZATION ON 2-ISOMETRIES IN NON-ARCHIMEDEAN 2-NORMED SPACES

  • Choy, Jaeyoo (Department of Mathematics, Kyungpook National University) ;
  • Ku, Se-Hyun (Department of Mathematics, Chungnam National University)
  • Received : 2009.01.05
  • Accepted : 2009.02.17
  • Published : 2009.03.31
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Abstract

Let f be an 2-isometry on a non-Archimedean 2-normed space. In this paper, we prove that the barycenter of triangle is invariant for f up to the translation by f(0), in this case, needless to say, we can imply naturally the Mazur-Ulam theorem in non-Archimedean 2-normed spaces.

Keywords

Acknowledgement

Supported by : Korea Research Foundation

References

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