About Subspace-Frequently Hypercyclic Operators [PDF]
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]
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’
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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On some kinds of dense orbits in general nonautonomous dynamical systems
We study the theory of universality for the nonautonomous dynamical systems from topological point of view related to hypercyclicity. The conditions are provided in a way that Birkhoff transitivity theorem can be extended.
Pourbarat Mehdi
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M-hypercyclicity of C0-semigroup and Svep of its generator
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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Hypercyclic operators on spaces of block-symmetric analytic functions
The paper contains proof of the hypercyclicity of ``symmetrictranslation'' on the algebras of block-symmetric analyticfunctions of bounded type on an isomorphic copy of $ell_1$
V. V. Kravtsiv +2 more
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Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces
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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On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators
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 V. Markin, Edward S. Sichel
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Linear dynamics of semigroups generated by differential operators
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
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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