Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 40, Issue 5 - Serial Number 5
October 2014
Pages 1057-1066

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