Bendaoud, M. and Benyouness, A. and Sarih, M.: Nonlinear maps preserving the pseudo spectral radius of skew semi-triple products of operators. In: Acta scientiarum mathematicarum, (84) 1-2. pp. 39-47. (2018)
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Abstract
Let H be a complex Hilbert space of dimension greater than 2, and denote by L(H) the algebra of all bounded linear operators on H. For ε > 0 and T ∈ L(H), let rε(T) denote the ε-pseudo spectral radius of T. Let S1 and S2 be subsets of L(H) which contain all rank one operators and the identity. A characterization is obtained for surjective maps φ: S1 → S2 satisfying rε(φ(T)φ(S) ∗φ(T)) = rε(T S∗T) (T, S ∈ S1). An analogous description is also obtained for the pseudo spectrum of operators.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2018 |
| Volume: | 84 |
| Number: | 1-2 |
| ISSN: | 0001-6969 |
| Page Range: | pp. 39-47 |
| Official URL: | http://www.acta.hu |
| Uncontrolled Keywords: | Leképezés, Operátorelmélet |
| Additional Information: | Bibliogr.: p. 46-47. ; Összefoglalás angol nyelven |
| Date Deposited: | 2018. Nov. 10. 09:09 |
| Last Modified: | 2019. Sep. 09. 13:44 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55802 |
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