2011Journal of tianjin University of TechnologyRequires access

A note on Mazur-Ulam theorem on general(2,p)-normed space

Liu Yu-buo

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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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What this paper is about

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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Available 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.

Key concepts: Strictly convex space, Normed vector space, Mathematics, Fist, Space (punctuation), Regular polygon, Functional analysis, Pure mathematics

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