M-hypercyclicity of C0-semigroup and Svep of its generator
Concrete 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.
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On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators
Mathematics, 2019 We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary (bounded or not) normal operator A in a complex Hilbert space as well as of the collection e t A t ≥ 0 of its exponentials, which, under a certain ...
Marat Markin
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About Subspace-Frequently Hypercyclic Operators [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-
Mansooreh Moosapoor, Mohammad Shahriari
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Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2021 A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if $$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward ...
Lotfollah Karimi
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Of sand and stone: Thick time, cyclicality, and Anthropocene poetics in ‘Nomadland’
NECSUS, 2023 This paper presents an ecocinematic reading of Chloé Zhao’s 2020 feature No- madland. Drawing on David Farrier’s notion of Anthropocene poetics, it argues that the film presents an image of ‘thick time’ through which human’s embeddedness in deep time is ...
Gert Jan Harkema
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Hypercyclic operators on spaces of block-symmetric analytic functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 The paper contains proof of the hypercyclicity of “symmetric translation” on the algebras of block-symmetric analytic functions of bounded type on an isomorphic copy of $l_1$.
V.V. Kravtsiv +2 more
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Various notions of subspace hypercyclic power operators and their direct sums in operator spaces [PDF]
European Journal of Mathematics and ApplicationsSubspace hypercyclic operators forms a very important class of operators in operator spaces.A lot of their properties have been studied over along period of time, however, complete characterization of this property has not been done.
David Otwisa Wechuli +2 more
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Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces
Concrete Operators, 2020 We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b).
Alhajj Rim
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Linear dynamics of semigroups generated by differential operators
Open Mathematics, 2017 During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing ...
Alberto Conejero J. +3 more
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CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES
Проблемы анализа, 2020 In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions.
C-C. Chen, S. M. Tabatabaie
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