Some spectral sets of linear operators pencils on non-archimedean Banach spaces

Authors

  • A. Blali Sidi Mohamed Ben Abdellah University, Morocco
  • A. El Amrani Sidi Mohamed Ben Abdellah University, Morocco
  • J. Ettayb Sidi Mohamed Ben Abdellah University, Morocco

DOI:

https://doi.org/10.31926/but.mif.2022.2.64.1.4

Keywords:

non-Archimedean operators theory, linear operator pencils, spectrum, trace, determinant, pseudo-spectrum

Abstract

In this paper, we define the notions of trace pseudo-spectrum, ε−determinant spectrum, and ε−trace of bounded linear operator pencils on non-Archimedean Banach spaces. Many results are proved about trace pseudo-spectrum, ε−determinant spectrum, and ε−trace of bounded linear operator pencils on non-Archimedean Banach spaces. Examples are given to support our work.

Author Biographies

A. Blali, Sidi Mohamed Ben Abdellah University, Morocco

´Ecole Normale Superieure, Department of Mathematics, B. P. 5206 Bensouda-Fez 

A. El Amrani, Sidi Mohamed Ben Abdellah University, Morocco

Department of Mathematics and Computer Science, Faculty of Sciences Dhar El Mahraz, Atlas Fez

J. Ettayb, Sidi Mohamed Ben Abdellah University, Morocco

Department of Mathematics and Computer Science, Faculty of Sciences Dhar El Mahraz, Atlas Fez

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Published

2022-07-06

Issue

Vol. 2(64) No. 1 (2022)

Section

MATHEMATICS