Results 1 to 10 of about 86 (32)
Complemented subspaces of p [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 437-442, 1995., 1995 Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
core +3 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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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.
doaj +1 more source
On the spectrum of the hierarchical Laplacian [PDF]
, 2013 Let $(X,d)$ be a locally compact separable ultrametric space. We assume that $(X,d)$ is proper, that is, any closed ball $B$ in $X$ is a compact set. Given a measure $m$ on $X$ and a function $C(B)$ defined on the set of balls (the choice function), we ...
Bendikov, Alexander, Krupski, Paweł
core +3 more sources
Non-Archimedean Models of Morphogenesis [PDF]
, 2020 We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns consisting of alternating domains.
Zúñiga-Galindo, W. A.
core +4 more sources
Boundary interpolation for slice hyperholomorphic Schur functions [PDF]
, 2014 A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Given nonnegative real numbers $\kappa_1, \ldots, \kappa_N$, quaternions $p_1, \ldots, p_N$ all of modulus $1$, so that the $2$-spheres determined by each ...
Abu-Ghanem, K. +4 more
core +3 more sources
Ultrametric Fredholm operators and approximate pseudospectrum [PDF]
Arab Journal of Mathematical SciencesPurposeThe paper deals with ultrametric bounded Fredholm operators and approximate pseudospectra of closed and densely defined (resp. bounded) linear operators on ultrametric Banach spaces.Design/methodology/approachThe author used the notions of ...
Jawad Ettayb
doaj +1 more source
ON SURFACES CONSTRUCTED BY EVOLUTION ACCORDING TO QUASI FRAME [PDF]
, 2020 The present paper presents evolutions of spherical indicatrix of a space curve according to the quasi-frame. Then, some geometric properties of these surfaces constructed by evolutions have been obtained.
Sariaydin, Muhammed T., Yazla, Aziz
core +1 more source