Geodesic
Maps between Fr\'echet algebras which strongly preserves distance one
Eurasian mathematical journal, Tome 14 (2023) no. 4, pp. 92-99

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We prove that if $T : X \to Y$ is a $2$-isometry between real linear $2$-normed spaces, then $T$ is affine whenever $Y$ is strictly convex. Also under some conditions we show that every surjective mapping $T : A \to B$ between real Fréchet algebras, which strongly preserves distance one, is affine. 
@article{EMJ_2023_14_4_a7,
     author = {A. Zivari-Kazempour},
     title = {Maps between {Fr\'echet} algebras  which strongly preserves distance one},
     journal = {Eurasian mathematical journal},
     pages = {92--99},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2023_14_4_a7/}
}
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A. Zivari-Kazempour. Maps between Fr\'echet algebras  which strongly preserves distance one. Eurasian mathematical journal, Tome 14 (2023) no. 4, pp. 92-99. http://geodesic.mathdoc.fr/item/EMJ_2023_14_4_a7/