González, Manuel and Mbekhta, Mostafa: Linear maps that preserve semi-Fredholm operators acting on Banach spaces. Acta scientiarum mathematicarum, (84) 1-2. pp. 137-149. (2018)
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Abstract
We consider the linear maps ϕ: B(X) → B(Y ) that preserve the semi-Fredholm operators in both directions or the essential spectrum of an operator, where B(X) is the algebra of all bounded linear operators on an infinite-dimensional Banach space X. We describe some known results in the Hilbert space case, provide some basic results and examples in the general case, and state several open problems.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2018 |
| Volume: | 84 |
| Number: | 1-2 |
| Page Range: | pp. 137-149 |
| ISSN: | 0001-6969 |
| Uncontrolled Keywords: | Banach tér |
| Additional Information: | Bibliogr.: p. 147-149. ; Összefoglalás angol nyelven |
| Official URL: | http://www.acta.hu |
| Date Deposited: | 2018. Nov. 10. 10:00 |
| Last Modified: | 2019. Sep. 09. 13:44 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55807 |
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