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Pseudospectrum and Essential Pseudospectrum of Operator Pencils on Ultrametric Banach Spaces

open access: yes
In this paper, we introduce and study the bounded linear operator pencils, the pseudospectrum and the essential pseudospectrum of bounded linear operator pencils on ultrametric Banach spaces. We prove that the essential pseudospectrum of a bounded linear
Jawad Ettayb
core   +1 more source
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A fixed point theorem in ultrametric n-Banach spaces and hyperstability results

Fixed Point Theory, 2023
Summary: In this paper, we prove a general fixed point theorem for ultrametric \(n\)-Banach spaces. We also show its applications in proving the hyperstability, in the sense of Găvruță, of the following monomial functional equation \[ \sum^s_{k=0} (-1)^{s-k} C^s_k f(kx + y) = s!f(x), \] where \(C^s_k = \frac{s!}{(s-k)!k!}\) and \(k\), \(s \in \mathbb{N}
Almahalebi, Muaadh   +3 more
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On λ-commuting and left (right) pseudospectrum and left (right) condition pseudospectrum of continuous linear operators on ultrametric Banach spaces

Russian Universities Reports. Mathematics
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 ...
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Spectral approximation of bounded linear operators on ultrametric Banach spaces

Summary: In this paper, we introduce and study the concepts of stable convergence and square-norm convergence of bounded linear operators on ultrametric Banach spaces. We establish a results on convergence and error estimates of operators and we prove many results related to the stable convergence, the square-convergence and the completely compact ...
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Ultrafilters and ultrametric Banach algebras of Lipschitz functions

Advances in Operator Theory, 2020
Alain Escassut
exaly  

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