Title : ( Surjective maps preserving the reduced minimum modulus of products )
Authors: Sepide Hajighasemi Azghandi , Shirin Hejazian ,
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Abstract
Suppose B(H) is the Banach algebra of all bounded linear operators on a Hilbert space H with dim(H) >2. Let \\\\gamma(.) denote the reduced minimum modulus of an operator. We characterize surjective maps \\\\phi on B(H) satisfying \\\\gamma(\\\\phi(T )\\\\gamma(\\\\phi(S)) = \\\\gamma(TS) (T, S \\\\in B(H)). Also, we give the general form of surjective maps on B(H) preserving the reduced minimum modulus of Jordan triple products of operators.
Keywords
, Reduced minimum modulus, operator product, Jordan triple product, nonlinear preservers
@article{paperid:1094299,
author = {Hajighasemi Azghandi, Sepide and Hejazian, Shirin},
title = {Surjective maps preserving the reduced minimum modulus of products},
journal = {Cubo},
year = {2023},
volume = {25},
number = {1},
month = {April},
issn = {0719-0646},
pages = {139--150},
numpages = {11},
keywords = {Reduced minimum modulus; operator product; Jordan triple product; nonlinear preservers},
}
%0 Journal Article
%T Surjective maps preserving the reduced minimum modulus of products
%A Hajighasemi Azghandi, Sepide
%A Hejazian, Shirin
%J Cubo
%@ 0719-0646
%D 2023
