Linear maps that preserve semi-Fredholm operators acting on Banach spaces

González, Manuel and Mbekhta, Mostafa: Linear maps that preserve semi-Fredholm operators acting on Banach spaces. In: 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
ISSN: 0001-6969
Page Range: pp. 137-149
Official URL: http://www.acta.hu
Uncontrolled Keywords: Banach tér
Additional Information: Bibliogr.: p. 147-149. ; Összefoglalás angol nyelven
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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