Condition pseudospectrum in non-Archimedean Banach spaces

Document Type : Research Paper

Author

C. High school of Hauman El fetouaki, P. O. Box 26402, Had Soualem, Morocco

Abstract

In this article, we introduce and study the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces. We obtain a characterization of the condition pseudospectrum of bounded linear operator pencils on non-Archimedean Banach spaces, the relation between the condition pseudospectrum of a bounded linear operator pencil and the pseudospectrum of this operator pencil in a non-Archimedean valued field is investigated. Finally, we characterize the essential spectrum of bounded linear operator pencils by means of non-Archimedean completely continuous linear operators and we illustrate our work by some examples.

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References

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Journal of Mahani Mathematical Research
Volume 15, Issue 1 - Serial Number 33
January 2026
Pages 357-371

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History

  • Receive Date: 12 May 2025
  • Revise Date: 19 August 2025
  • Accept Date: 07 September 2025

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