Ultrametric Fredholm operators and approximate pseudospectrum

Ettayb, Jawad

doi:10.1108/ajms-09-2023-0007

AJMS

2024

DOI: 10.1108/ajms-09-2023-0007

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Ultrametric Fredholm operators and approximate pseudospectrum

Jawad Ettayb

Abstract: PurposeThe paper deals with ultrametric bounded Fredholm operators and approximate pseudospectra of closed and densely defined (resp. bounded) linear operators on ultrametric Banach spaces.Design/methodology/approachThe author used the notions of ultrametric bounded Fredholm operators and approximate pseudospectra of operators.FindingsThe author established some results on ultrametric bounded Fredholm operators and approximate pseudospectra of closed and densely defined (resp. bounded) linear operators on ultr… Show more

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2024

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On λ-commuting and left (right) pseudospectrum and left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces

Ettayb

2024

Russian Universities Reports. Mathematics

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continuous linear operators on ultrametric Banach spaces and we introduce and study the operator equations ASB=S and AS=SB. We give some properties of these operator equations. Some illustrative examples are provided. On the other hand, we introduce and study the left (right) pseudospectrum and the left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces. We prove that the left pseudospectra associated with various ε>0 are nested sets and the intersection of all the left pseudospectra is the left spectrum. We give a relationship between the left (right) pseudospectrum and the left (right) condition pseudospectrum. Moreover, many results are proved concerning the left (right) pseudospectrum and the left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces.

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On λ-commuting and left (right) pseudospectrum and left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces

Ettayb

2024

Russian Universities Reports. Mathematics

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show abstract

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Ultrametric Fredholm operators and approximate pseudospectrum

Cited by 1 publication

References 13 publications

On λ-commuting and left (right) pseudospectrum and left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces

On λ-commuting and left (right) pseudospectrum and left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces

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