A note on Mazur-Ulam theorem on general(2,p)-normed space
Liu Yu-buo
Abstract
Liu Yu-buo
Abstract
The Mazur-Ulam theorem on strictly convex(2,p)-normed space has already proved\,in this article,we fist define the interior preserving mapping on(2,p)-normed space,then we prove the Mazur-Ulatm theorem on general(2,p)-normed space without the condition of strictly convex,this makes the theorem from 2-normed space expand to general(2,p)-normed space.
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The Mazur-Ulam theorem on strictly convex(2,p)-normed space has already proved\,in this article,we fist define the interior preserving mapping on(2,p)-normed space,then we prove the Mazur-Ulatm theorem on general(2,p)-normed space without the condition of strictly convex,this makes the theorem from 2-normed space expand to general(2,p)-normed space.
Key concepts: Strictly convex space, Normed vector space, Mathematics, Fist, Space (punctuation), Regular polygon, Functional analysis, Pure mathematics