On ultrametric pseudospectra of direct sum of linear operator pencils

Authors

Keywords:

Ultrametric Banach spaces, pseudospectra, condition pseudospectra, direct sum of operators, linear operator pencils.

Abstract

 In this paper, we introduce the concepts of pseudospectra, condition pseudospectra, determinant spectra and trace pseudospectra of the direct sum of bounded linear operator pencils on ultrametric Banach spaces. We prove numerous results about them and we give some examples to illustrate our work.

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Published

2025-03-23

How to Cite

Ettayb, J. (2025). On ultrametric pseudospectra of direct sum of linear operator pencils. International Journal of Maps in Mathematics, 8(1), 192–207. Retrieved from https://simadp.com/journalmim/article/view/166