Results 1 to 10 of about 80 (80)

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

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

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
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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

On linear chaos in function spaces

open access: yesDemonstratio Mathematica, 2022
We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
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B-Fredholm elements in primitive C*-algebras

open access: yesOpen Mathematics, 2022
Let A{\mathcal{A}} be a unital primitive C∗\ast -algebra. This article studies the properties of the B-Fredholm elements, the B-Weyl elements and the B-Browder elements in A{\mathcal{A}}. Particularly, this article describes the B-Fredholm element as the
Kong Yingying, Jiang Lining
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Structure of n-quasi left m-invertible and related classes of operators

open access: yesDemonstratio Mathematica, 2020
Given Hilbert space operators T,S∈B(ℋ)T,S\in B( {\mathcal H} ), let Δ\text{Δ} and δ∈B(B(ℋ))\delta \in B(B( {\mathcal H} )) denote the elementary operators ΔT,S(X)=(LTRS−I)(X)=TXS−X{\text{Δ}}_{T,S}(X)=({L}_{T}{R}_{S}-I)(X)=TXS-X and δT,S(X)=(
Duggal Bhagwati Prashad, Kim In Hyun
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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
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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

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