Title : ( Bijections between positive cones of JBW-algebras preserving quadratic product )
Authors: MOZHDEH SAFARIZADEH , Shirin Hejazian ,
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Abstract
Let A be a JBW-algebra with no abelian direct summand and let for a in A, U_a denote the quadratic operator defined by U_a(b) = 2a o (a o b) - a^2 o b for all b in A. We show that every bijection \\\\\\\\\\\\\\\\phi from the positive cone of A onto the positive cone of a JBW-algebra B preserving the quadratic product, extends to a Jordan isomorphism from A onto B. Keywords: JBW-algebra, quadratic operator, quadratic product,
Keywords
, JBW-algebra, quadratic operator, quadratic product, preserver mapping.
@inproceedings{paperid:1078303,
author = {SAFARIZADEH, MOZHDEH and Hejazian, Shirin},
title = {Bijections between positive cones of JBW-algebras preserving quadratic product},
booktitle = {پنجاهمین کنفرانس ریاضی ایران},
year = {2019},
location = {شیراز, IRAN},
keywords = {JBW-algebra; quadratic operator; quadratic product; preserver mapping.},
}
%0 Conference Proceedings
%T Bijections between positive cones of JBW-algebras preserving quadratic product
%A SAFARIZADEH, MOZHDEH
%A Hejazian, Shirin
%J پنجاهمین کنفرانس ریاضی ایران
%D 2019
