| dc.creator | Hajighasemi, Sepide | |
| dc.creator | Hejazian, Shirin | |
| dc.date | 2023-04-24 | |
| dc.identifier | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3340 | |
| dc.identifier | 10.56754/0719-0646.2501.139 | |
| dc.description | Suppose \(\mathfrak{B}(H)\) is the Banach algebra of all bounded linear operators on a Hilbert space \(H\) with \(\dim(H)\geq 3\). Let \(\gamma(.)\) denote the reduced minimum modulus of an operator. We charaterize surjective maps \(\varphi\) on \(\mathfrak{B}(H)\) satisfying
\(\gamma(\varphi(T)\varphi(S))=\gamma(T S)\;\;\;(T, S\in \mathfrak{B}(H)).\)
Also, we give the general form of surjective maps on \(\mathfrak B(H)\) preserving the reduced minimum modulus of Jordan triple products of operators. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3340/2281 | |
| dc.rights | Copyright (c) 2023 S. Hajighasemi et. al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 25 No. 1 (2023); 139–150 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 25 No. 1 (2023); 139–150 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Reduced minimum modulus | en-US |
| dc.subject | operator product | en-US |
| dc.subject | Jordan triple product | en-US |
| dc.subject | nonlinear preservers | en-US |
| dc.subject | 47A10 | en-US |
| dc.subject | 47A13 | en-US |
| dc.subject | 47A25 | en-US |
| dc.subject | 47B02 | en-US |
| dc.subject | 47B49 | en-US |
| dc.title | Surjective maps preserving the reduced minimum modulus of products | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
