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On the condition spectrum of linear operator pencils

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Abstract

In this paper, we study the \(\epsilon -\)condition spectrum of a linear operator pencil (A, B) defined on a complex Banach space. This type of spectrum generalizes the usual spectrum, but also presents some specific geometric properties. In addition, we will focus on the case where A is compact in order to have a better idea of the characteristics of this spectra.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, BP1171, 3000, Sfax, Tunisia

    Anouer Ben Ali & Bilel Saadaoui

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  1. Anouer Ben Ali
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  2. Bilel Saadaoui
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Correspondence to Bilel Saadaoui.

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Ben Ali, A., Saadaoui, B. On the condition spectrum of linear operator pencils. Rend. Circ. Mat. Palermo, II. Ser 72, 1845–1861 (2023). https://doi.org/10.1007/s12215-022-00756-5

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  • DOI: https://doi.org/10.1007/s12215-022-00756-5

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