Stability of some essential B-spectra of pencil operators and application

Authors

  • A. Ben Ali Department of Mathematics, Science Faculty of Sfax University of Sfax, Tunisia
  • M. Boudhief Department of Mathematics, Science Faculty of Sfax University of Sfax, Tunisia
  • N. Moalla Department of Mathematics, Science Faculty of Sfax University of Sfax, Tunisia

DOI:

https://doi.org/10.17398/2605-5686.36.1.63

Keywords:

Operator pencil, finite-rank and power finite-rank perturbations, essential B-spectra, transport operator

Abstract

In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine the essential B-spectra of an integro-differential operator with abstract boundary conditions in the Banach space Lp([−a, a] × [−1, 1]), p ≥ 1 and a > 0.

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References

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Published

2021-06-20

Issue

Section

Operator Theory

How to Cite

Stability of some essential B-spectra of pencil operators and application. (2021). Extracta Mathematicae, 36(1), 63-80. https://doi.org/10.17398/2605-5686.36.1.63