Bendaoud, M. and Benyouness, A. and Sarih, M.
(2016)
*Preservers of pseudo spectra of operator jordan triple products.*
Operators and Matrices, 10 (1).
pp. 45-56.

## Abstract

Let ℋ be an infinite-dimensional complex Hilbert space and let ℒ(ℋ) be the algebra of all bounded linear operators on ℋ. For ε > 0 and TЄ ℒ(ℋ), let rε (T) denote the ε - pseudo spectral radius of T. We characterize surjective maps φ on ℒ(ℋ) which satisfy rε(φ(T)φ(S)φ(T)) = rε(TST) for all T,S Є ℒ(ℋ). As application, mappings from ℒ(X) onto itself that preserve the pseudo spectrum of Jordan triple product of operators are described. We also obtain analogous results for the finite-dimensional case, without the surjectivity assumption on φ. © Zagreb.

Item Type: | Article |
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Subjects: | Mathematics |

Divisions: | SCIENTIFIC PRODUCTION > Mathematics |

Depositing User: | Administrateur Eprints Administrateur Eprints |

Last Modified: | 31 Jan 2020 15:48 |

URI: | http://eprints.umi.ac.ma/id/eprint/3993 |

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