Mazur–Ulam theorem
From Infogalactic: the planetary knowledge core
In mathematics, the Mazur–Ulam theorem states that if 
and 
are normed spaces over R and the mapping
is a surjective isometry, then 
is affine.
It is named after Stanisław Mazur and Stanislaw Ulam in response to an issue raised by Stefan Banach.
References
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External links
- Jussi Väisälä A proof of the Mazur-Ulam theorem.
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