Title : ( Some multiplivative preservers on Jordan Operator algebras )
Authors: somaye ghorbani poor , Shirin Hejazian ,
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Abstract
Let B be a unital real standard Jordan operator alge- bra acting on a Hilbert space H of dimension at least 2. We show that every bijection ϕ on A satisfying ϕ(A^2 o B) = ϕ(A)^2 o ϕ(B) is of the form ϕ =eT where T is an automorphism on A and e=1 0r -1. As a consequence if A is the real algebra of all self- adjoint operators on a Hilbert space H, then there exists a unitary or conjugate unitary operator U on H such that ϕ(A) = "U*AU for all A in B.
Keywords
, Jordan operator algebra, preserver, Jordan product
@inproceedings{paperid:1057672,
author = {Ghorbani Poor, Somaye and Hejazian, Shirin},
title = {Some multiplivative preservers on Jordan Operator algebras},
booktitle = {چهارمین سمینار آنالیز تابعی و کاربردهای آن},
year = {2016},
location = {مشهد, IRAN},
keywords = {Jordan operator algebra; preserver; Jordan product},
}
%0 Conference Proceedings
%T Some multiplivative preservers on Jordan Operator algebras
%A Ghorbani Poor, Somaye
%A Hejazian, Shirin
%J چهارمین سمینار آنالیز تابعی و کاربردهای آن
%D 2016
