Results 1 to 10 of about 86 (32)
Complemented subspaces of p‐adic second dual Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 437-442, 1995., 1993 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 has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach space has an orthocomplemented subspace linearly homeomorphic to l∞.
Takemitsu Kiyosawa
wiley +4 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
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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
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.
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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
Simple study designs in ecology produce inaccurate estimates of biodiversity responses
Journal of Applied Ecology, Volume 56, Issue 12, Page 2742-2754, December 2019., 2019 We suggest that more investment in more robust designs is needed in ecology since inferences from simpler designs, even with large sample sizes may be misleading. Facilitating this requires longer‐term funding and stronger research–practice partnerships. We also propose ‘accuracy weights’ and demonstrate how they can weight studies in three recent meta‐
Alec P. Christie +6 more
wiley +1 more source
Tauberian operators in p‐adic analysis
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 149-162, 2000., 2000 In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p‐adic Tauberian operators and operators having property N in terms of basic sequences. And, as its applications, we give some equivalent relations between these operators and p‐adic semi‐Fredholm ...
Takemitsu Kiyosawa
wiley +1 more source
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
doaj
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