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- W3100403649 abstract "Let $X$ and $Y$ be real normed spaces and $f colon Xto Y$ a surjective mapping. Then $f$ satisfies ${|f(x)+f(y)|, |f(x)-f(y)|} = {|x+y|, |x-y|}$, $x,yin X$, if and only if $f$ is phase equivalent to a surjective linear isometry, that is, $f=sigma U$, where $U colon Xto Y$ is a surjective linear isometry and $sigma colon Xto {-1,1}$. This is a Wigner's type result for real normed spaces." @default.
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- W3100403649 date "2020-05-05" @default.
- W3100403649 modified "2023-09-27" @default.
- W3100403649 title "Phase-isometries between normed spaces." @default.
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