Results 1 to 10 of about 21 (21)
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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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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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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A Functional equation related to inner product spaces in non-archimedean normed spaces
Advances in Difference Equations, 2011 In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong +4 more
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On a fractional Cauchy problem with singular initial data
Nonautonomous Dynamical SystemsThis article is dedicated to establishing the existence and uniqueness of solutions for the following problem: Dαx(t)=F(t,x(t))x(0)=x0,\left\{\begin{array}{l}{D}^{\alpha }x\left(t)=F\left(t,x\left(t))\hspace{1.0em}\\ x\left(0)={x}_{0},\hspace{1.0em}\end ...
Benmerrous Abdelmjid +4 more
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Demonstratio MathematicaIn this article, we propose a novel integral transform coined as quaternion quadratic phase S-transform (Q-QPST), which is an extension of the quadratic phase S-transform and study the uncertainty principles associated with the Q-QPST.
Gargouri Ameni
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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
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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
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