# Stability of essential spectra of bounded linear operators

Document Type: Research Paper

Author

University of Sfax Tunisia

Abstract

In this paper‎, ‎we show the stability of Gustafson‎, ‎Weidmann‎, ‎Kato‎, ‎Wolf‎, ‎Schechter and Browder essential spectrum of bounded linear operators on Banach spaces which remain invariant under additive perturbations‎
‎belonging to a broad classes of operators $U$ such <that> $\gamma(U^m)<1$ where $\gamma(.)$ is a measure of‎
‎noncompactness‎.

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### History

• Receive Date: 22 April 2013
• Revise Date: 19 July 2013
• Accept Date: 21 July 2013