Results 61 to 70 of about 102 (82)

Constructions of Urysohn Universal Ultrametric Spaces

P-Adic Numbers, Ultrametric Analysis, and Applications, 2023
In this paper, we give new constructions of Urysohn universal ultrametric spaces. We first characterize a Urysohn universal ultrametric subspace of the space of all continuous functions whose images contain the zero, from a zero-dimensional compact ...
Yoshito Ishiki
exaly   +2 more sources

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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, Al-Ali, Sadeq, Hryrou, Mustapha E., Elkettani, Youssfi   +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 ...
openaire   +2 more sources

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 ...
openaire   +1 more source

Ultrafilters and ultrametric Banach algebras of Lipschitz functions

Advances in Operator Theory, 2020
Alain Escassut
exaly  

Hyperstability of a quadratic functional equation with involutions in ultrametric n-Banach spaces via fixed point approach

The Journal of Analysis
Mohamed El Fatini, Muaadh Almahalebi, Choonkil Park, Ahmad M. Alghamdii   +3 more
openaire   +1 more source

Hyperstability of the Jensen functional equation in ultrametric spaces

Aequationes Mathematicae, 2017
Muaadh Almahalebi, Abdellatif Chahbi, Almahalebi Muaadh   +2 more
exaly  

On approximate roots of polynomials and systems of polynomials in ultrametric Banach algebras

Journal of Mathematical Analysis and Applications, 2018
Janusz Brzdęk, Eliza Jabłońska, Jolanta Olko   +2 more
exaly