Results 1 to 10 of about 3,099 (194)

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   +2 more sources

Multiple recurrence and hypercyclicity [PDF]

open access: yesMATHEMATICA SCANDINAVICA, 2021
We study multiply recurrent and hypercyclic operators as a special case of $\mathcal F$-hypercyclicity, where $\mathcal F$ is the family of subsets of the natural numbers containing arbitrarily long arithmetic progressions. We prove several properties of
Rodrigo Cardeccia, Santiago Muro
semanticscholar   +4 more sources

Frequently hypercyclic bilateral shifts [PDF]

open access: green, 2017
It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on $c_0(\mathbb{Z})$ is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer.
Grosse-Erdmann, Karl-G.
core   +4 more sources

Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators

open access: goldمجلة بغداد للعلوم, 2010
Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
doaj   +3 more sources

Disjoint hypercyclicity, Sidon sets and weakly mixing operators [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2022
We prove that a finite set of natural numbers J satisfies that $J\cup \{0\}$ is not Sidon if and only if for any operator T, the disjoint hypercyclicity of $\{T^j:j\in J\}$ implies that T is weakly mixing. As an application we show the existence of a
Rodrigo Cardeccia
semanticscholar   +1 more source

About Subspace-Frequently Hypercyclic Operators [PDF]

open access: yesSahand 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
doaj   +1 more source

Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces [PDF]

open access: yesMathematics 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
doaj   +1 more source

Of sand and stone: Thick time, cyclicality, and Anthropocene poetics in ‘Nomadland’

open access: yesNECSUS, 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
doaj   +1 more source

Commutant hypercyclicity of Hilbert space operators

open access: yesFilomat, 2023
An operator T on a Hilbert space H is commutant hypercyclic if there is a vector x in H such that the set {Sx : TS = ST} is dense in H. We prove that operators on finite dimensional Hilbert space, a rich class of weighted shift operators, isometries ...
Karim Hedayatian   +1 more
semanticscholar   +1 more source

A NOTE ON FREQUENT HYPERCYCLICITY OF OPERATORS THAT λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda$$\end{doc

open access: yesJournal of Mathematical Sciences, 2022
A continuous linear operator on a Fréchet space X\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-
F. León-Saavedra, M. D. L. de la Rosa
semanticscholar   +1 more source

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