Results 1 to 10 of about 1,201 (92)

Resolvent estimates for 2-dimensional perturbations of plane Couette flow

open access: yesElectronic Journal of Differential Equations, 2002
We present results concerning resolvent estimates for the linear operator associated with the system of differential equations governing 2 dimensional perturbations of plane Couette flow.
Pablo Braz e Silva
doaj   +5 more sources

Limit points for descent spectrum of operator matrices

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this paper, we investigate the limit points set of descent spectrum of upper triangular operator matrices MC=(AC0B){M_C} = \left( {\matrix{A \hfill & C \hfill \cr 0 \hfill & B \hfill \cr } } \right).
Boua H., Karmouni M., Tajmouati A.
doaj   +1 more source

M-hypercyclicity of C0-semigroup and Svep of its generator

open access: yesConcrete Operators, 2021
Let 𝒯 = (Tt)t≥0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup ...
Toukmati A.
doaj   +1 more source

Jacobson’s Lemma in the ring of quaternionic linear operators

open access: yesMoroccan 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

Scattering properties of Sturm-Liouville equations with sign-alternating weight and transmission condition at turning point

open access: yesOpen Mathematics, 2023
In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. In the classical literature, there are plenty of papers considering the positive values of the weight ...
Çoşkun Nimet, Görgülü Merve
doaj   +1 more source

On the operator equations ABA = A2 and BAB = B2 on non-Archimedean Banach spaces

open access: yesTopological 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

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

open access: yesConcrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
doaj   +1 more source

Compact perturbations of operators with property (t)

open access: yesOpen Mathematics, 2021
Let ℋ{\mathcal{ {\mathcal H} }} be an infinite dimensional complex Hilbert space and ℬ(ℋ){\mathcal{ {\mathcal B} }}\left({\mathcal{ {\mathcal H} }}) the algebra of all bounded linear operators on ℋ{\mathcal{ {\mathcal H} }}.
Yu Xinling, Shi Weijuan, Ji Guoxing
doaj   +1 more source

On the quasi-Fredholm and Saphar spectrum of strongly continuous Cosine operator function

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
Let (C(t))t∈𝕉 be a strongly continuous cosine family and A be its infinitesimal generator. In this work, we prove that, if C(t) – coshλt is Saphar (resp. quasi-Fredholm) operator and λt /∉iπ𝕑, then A – λ2 is also Saphar (resp.
Boua Hamid
doaj   +1 more source

Spectra of Weighted Composition Operators with Quadratic Symbols

open access: yesConcrete Operators, 2022
Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is ...
Doctor Jessica   +4 more
doaj   +1 more source

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