Results 1 to 10 of about 446 (70)
Analytic extension of n-normal operators
Operators and Matrices, 2021 Normal operators and n -normal operators played a pivotal role in the development of operator theory. In order to generalize these classes of operators, we introduce new classes of operators which we call analytic extension of n normal operator and F ...
S. Mécheri
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Compact perturbations of operators with property (t)
Open 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
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Range-Kernel orthogonality and elementary operators on certain Banach spaces
Demonstratio Mathematica, 2021 The characterization of the points in Cp:1 ...
Bachir Ahmed +3 more
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Range-kernel weak orthogonality of some elementary operators
Open Mathematics, 2021 We study the range-kernel weak orthogonality of certain elementary operators induced by non-normal operators, with respect to usual operator norm and the Von Newmann-Schatten pp-norm (1 ...
Bachir Ahmed +2 more
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Remarks on hyponormal Toeplitz operators with nonharmonic symbols
Open Mathematics, 2023 In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator Tφ{T}_{\varphi } on the Bergman space A2(D){A}^{2}\left({\mathbb{D}}).
Kim Sumin, Lee Jongrak
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On hyponormality on a weighted annulus
Open Mathematics, 2021 In this work, we consider the hyponormality of Toeplitz operators on the Bergman space of the annulus with a logarithmic weight. We give necessary conditions when the symbol is of the form φ+ψ¯\varphi +\overline{\psi }, where φ\varphi and ψ\psi are ...
Sadraoui Houcine +2 more
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Concrete Operators, 2022 Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
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Quartically hyponormal weighted shifts need not be 3-hyponormal [PDF]
, 2006 We give the first example of a quartically hyponormal unilateral weighted shift which is not 3 ...
Curto, Raul E., Lee, Sang Hoon
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On the class of n-power D-m-quasi-normal operators on Hilbert spaces
, 2020 As a continuation of our previous work [22], this paper is devoted to the study for further properties of the class of (n,m) -power D -normal operators( [(n,m)DN] ) and introduce some classes of operators on Hilbert space called D -m -quasi-normal ...
Beinane Sid Ahmed, S. Mahmoud
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On the iterated mean transforms of operators
, 2020 Let T = U |T | be the polar decomposition of an operator T ∈ L (H ) . For given s,t 0 , we say that ̂ Ts,t := sU |T |+ t|T |U is the weighted mean transform of T . In this paper, we study properties of the k -th iterated weighted mean transform ̂ T (k) s,
Sungeun Jung, Eungil Ko, Mee-Jung Lee
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