On Maps which Preserve Equality of Distance in F*-spaces

Dongni Tan

Bulletin of the Polish Academy of Sciences. Mathematics (2008)

  • Volume: 56, Issue: 3, page 225-230
  • ISSN: 0239-7269

Abstract

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We prove that every map T between two F*-spaces which preserves equality of distance and satisfies T(0) = 0 is linear.

How to cite

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Dongni Tan. "On Maps which Preserve Equality of Distance in F*-spaces." Bulletin of the Polish Academy of Sciences. Mathematics 56.3 (2008): 225-230. <http://eudml.org/doc/281303>.

@article{DongniTan2008,
abstract = {We prove that every map T between two F*-spaces which preserves equality of distance and satisfies T(0) = 0 is linear.},
author = {Dongni Tan},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {-space; equality of distance preserving map; isometry},
language = {eng},
number = {3},
pages = {225-230},
title = {On Maps which Preserve Equality of Distance in F*-spaces},
url = {http://eudml.org/doc/281303},
volume = {56},
year = {2008},
}

TY - JOUR
AU - Dongni Tan
TI - On Maps which Preserve Equality of Distance in F*-spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2008
VL - 56
IS - 3
SP - 225
EP - 230
AB - We prove that every map T between two F*-spaces which preserves equality of distance and satisfies T(0) = 0 is linear.
LA - eng
KW - -space; equality of distance preserving map; isometry
UR - http://eudml.org/doc/281303
ER -

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