ON A CHARACTERIZATION OF THE S-ESSENTIAL SPECTRA OF THE SUM AND THE PRODUCT OF TWO OPERATORS AND APPLICATION TO A TRANSPORT OPERATOR

doi:10.1016/S0252-9602(15)30054-0

Abstract

Abstract:

In this paper, we develop some operational calculus inspired from the Fredholm operator theory to investigate the S-essential spectra of the sum and the product of two operators acting on a Banach space. Furthermore, we apply the obtained results to determine the S-essential spectra of an integro-differential operator with abstract boundary conditions in L₁([-a, a] × [-1, 1]) (a > 0).

Key words: Fredholm operator, Fredholm perturbation, S-essential spectra, transport operator

CLC Number:

47A13

Salma CHARFI, Sassia RAHALI. ON A CHARACTERIZATION OF THE S-ESSENTIAL SPECTRA OF THE SUM AND THE PRODUCT OF TWO OPERATORS AND APPLICATION TO A TRANSPORT OPERATOR[J].Acta mathematica scientia,Series B, 2015, 35(6): 1285-1304.

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