Results 1 to 10 of about 214 (53)
An axiomatic approach to the nonlinear theory of generalized functions and consistency of Laplace transforms [PDF]
Integral Transforms and Special Functions, 2011 We offer an axiomatic definition of a differential algebra of generalized functions over an algebraically closed non-Archimedean field. This algebra is of Colombeau type in the sense that it contains a copy of the space of Schwartz distributions.
Colombeau J. F. +22 more
exaly +4 more sources
Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces
Journal of Inequalities and Applications, 2011 Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and ...
Kang Jung Im, Cho Yeol Je, Najati Abbas
doaj +2 more sources
On the stability of pexider functional equation in non-archimedean spaces
Journal of Inequalities and Applications, 2011 In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed +2 more
doaj +2 more sources
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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Jacobson’s Lemma in the ring of quaternionic linear operators
Moroccan Journal of Pure and Applied Analysis, 2021 In the present paper, we study the Jacobson’s Lemma in the unital ring of all bounded right linear operators ℬR(X) acting on a two-sided quaternionic Banach space X. In particular, let A, B ∈ ℬR(X) and let q ∈ ℍ \ {0}, we prove that w(AB) \ {0} = w(BA) \
Benabdi El Hassan, Barraa Mohamed
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On the operator equations ABA = A2 and BAB = B2 on non-Archimedean Banach spaces
Topological Algebra and its Applications, 2023 Let XX and YY be non-Archimedean Banach spaces over K{\mathbb{K}}, A∈B(X,Y)A\in B\left(X,Y) and B∈B(Y,X)B\in B\left(Y,X) such that ABA=A2ABA={A}^{2} and BAB=B2.BAB={B}^{2}.
Ettayb Jawad
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Annales Mathematicae Silesianae, 2020 In [12] a close connection between stability results for the Cauchy equation and the completion of a normed space over the rationals endowed with the usual absolute value has been investigated. Here similar results are presented when the valuation of the
Schwaiger Jens
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Generalized functional inequalities in Banach spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
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On maximal immediate extensions of valued division algebras [PDF]
, 2003 We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division ...
Banaschewski B. +13 more
core +1 more source
On non-Archimedean recurrence equations and their applications [PDF]
, 2014 In the present paper we study stability of recurrence equations (which in particular case contain a dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra.
Akin, Hasan, Mukhamedov, Farrukh
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