On Maps which Preserve Equality of Distance in $F^{*}$-spaces
Volume 56 / 2008
Bulletin Polish Acad. Sci. Math. 56 (2008), 225-230
MSC: Primary 46A99.
DOI: 10.4064/ba56-3-5
Abstract
We prove that every map $T$ between two $F^{*}$-spaces which preserves equality of distance and satisfies $T(0)=0$ is linear.
