On joint spectra of families of operator pencils

Faiçal  Abdmouleh; Bilel Elgabeur

doi:10.5269/bspm.67756

Faiçal Abdmouleh
Bilel Elgabeur University of Sfax

Abstract

In this paper, we introduce and study the basic properties of several types of joint spectra of n-tuples of operator pencils in both Banach álgebra and Banach space. We give spectral properties (i.e. compactness, the spectral mapping theorem), as well as an example of the upper and lower triangular matrices. In addition, we describe the joint spectrum of the tensor product of several operators.

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