ON MAZUR-ULAM THEOREM ANDMAPPINGS WHICH PRESERVE DISTANCES

Themistocles M. Rassias, Shuhuang Xiang

Abstract


Let X and Y be two real Hilbert spaces with the dimension of X greater than 1. Several cases for a mapping f from X to Y preserving two distances with a non-integer ratio are presented.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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