A NOTE ON THE PERTURBATIONS OF PSEUDOSPECTRA OF 2 × 2 UPPER-TRIANGULAR OPERATOR MATRICES

In this paper we completely describe the sets ∩C2B(Y;X ) σ"(MC) and ∪C2B(Y;X ) σ"(MC). We also analyze the similarities and differences between these results in the case when the spectrum is perturbed.

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Journal
Facta Universitatis Series Mathematics and Informatics
Published
2025-07-21
DOI
https://doi.org/10.22190/fumi250219051k
Primary Topic
Matrix Theory and Algorithms
Type
article
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article

A NOTE ON THE PERTURBATIONS OF PSEUDOSPECTRA OF 2 × 2 UPPER-TRIANGULAR OPERATOR MATRICES

Marko Kostadinov
Facta Universitatis Series Mathematics and Informatics
Matrix Theory and Algorithms
article

A NOTE ON THE PERTURBATIONS OF PSEUDOSPECTRA OF 2 × 2 UPPER-TRIANGULAR OPERATOR MATRICES

Marko Kostadinov
article en

Abstract

In this paper we completely describe the sets ∩C2B(Y;X ) σ"(MC) and ∪C2B(Y;X ) σ"(MC). We also analyze the similarities and differences between these results in the case when the spectrum is perturbed.

Facta Universitatis Series Mathematics and InformaticsVol. 40(4)
University of Nis (RS)
Openalex Percentile: Top 81%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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A NOTE ON THE PERTURBATIONS OF PSEUDOSPECTRA OF 2 × 2 UPPER-TRIANGULAR OPERATOR MATRICES — Marko Kostadinov · Facta Universitatis Series Mathematics and Informatics (2025) | TGRS Research Map | TGRS