Results 1 to 10 of about 68,923 (86)
Topological Algebra and its Applications, 2023 In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices.
Ettayb Jawad
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C0-semigroups of linear operators on some ultrametric Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 C0-semigroups of linear operators play a crucial role in the solvability of evolution equations in the classical context. This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E.
Toka Diagana
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Pseudospectra of the direct sum of linear operators in ultrametric Banach spaces
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, a characterization of essential pseudospectra of bounded linear operators on ultrametric Banach spaces over a spherically complete field was given and the notions of pseudospectra and condition pseudospectra of the direct sum of linear ...
J. Ettayb
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Isometric embedding of finite ultrametric spaces in Banach spaces
Topology and Its Applications, 2004 Recall that a metric space \((X, d)\) is called ultrametric (or isosceles, or non-Archimedian) if \(d(x, z)\leq\max\{d(x, y),d(y, z)\}\) for all \(x,y,z\in X\). It was shown by \textit{B. Fichet} in [Classification and related methods of data analysis, Proc. 1st Conf. IFCS, Aachen/FRG 1987, 439--444 (1984; Zbl 0734.62002)] that every finite ultrametric
S. Shkarin
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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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Constructions of Urysohn Universal Ultrametric Spaces [PDF]
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
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(N, ε)-pseudospectra of bounded linear operators on ultrametric Banach spaces
Gulf Journal of MathematicsIn this paper, we prove that the essential pseudospectrum of bounded linear operator pencils is invariant under perturbation of completely continuous linear operators on ultrametric Banach spaces over a spherically complete field K and we establish a characterization of the essential pseudospectrum of a bounded linear operator pencils by means of the ...
J. Ettayb
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Some results on ultrametric 2-normed spaces
Researches in MathematicsIn this paper, we study the ultrametric 2-normed spaces and the ultrametric 2-Banach spaces. In particular, we establish some results on Cauchy sequences in ultrametric 2-normed spaces.
J. Ettayb
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STRUCTURED CONDITION PSEUDOSPECTRA AND STRUCTURED ESSENTIAL CONDITION PSEUDOSPECTRA OF BOUNDED LINEAR OPERATORS ON ULTRAMETRIC BANACH SPACES [PDF]
Journal of Algebraic SystemsIn this paper, we introduce and study the structured condition pseudospectra and the structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces.
Jawad Ettayb
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On approximate roots of polynomials and systems of polynomials in ultrametric Banach algebras
Journal of Mathematical Analysis and Applications, 2018 We present methods that allow to estimate the distance between the approximate and exact zeros of some polynomial equations and systems of them (also infinite) in ultrametric Banach algebras.
Eliza Jablonska +2 more
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