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Rate of Growth of Hypercyclic and Frequently Hypercyclic Functions for the Dunkl Operator [PDF]

Mediterranean Journal of Mathematics, 2016
For the Dunkl operator $Λ_α$ $(α> -1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic functions $f$ is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
Antonio Bonilla, Luis Bernal-González
exaly   +8 more sources

On Some Subspace Codiskcyclic Operators in Banach Spaces

International Journal of Mathematics and Mathematical Sciences
This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators.
Peter Masong Slaa, Santosh Kumar, Marco Mpimbo   +2 more
doaj   +2 more sources

Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces

Journal of Function Spaces, 2015
We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces.
Zoryana Mozhyrovska, Andriy V. Zagorodnyuk   +1 more
doaj   +2 more sources

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

Abstract and Applied Analysis
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age-structured cell cycle model.
Cheng-Hung Hung
doaj   +2 more sources

HYPERCYCLIC OPERATOR WEIGHTED SHIFTS

Bulletin of the Korean Mathematical Society, 2004
A bounded linear operator \(T\) on a Hilbert space \(H\) is said to be hypercyclic if, for some \(x \in H\), the orbit \(\{T^{n}x : n=0,1,2,\dots \}\) is dense in \(H\). In the paper under review, the authors give a characterization for hypercyclicity of a bilateral operator weighted shift \(T\) on the Hilbert space \(L^{2}(K)\).
Hazarika, Munmun, Arora, S. C.
exaly   +4 more sources

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
doaj   +1 more source

Notes on the Hypercyclic Operator

Journal of Mathematical Extension, 2008
In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
doaj   +1 more source

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
doaj   +1 more source

On invertible hypercyclic operators [PDF]

Proceedings of the American Mathematical Society, 1992
Let A A be an invertible (bounded linear) operator acting on a complex Banach space
Herrero, Domingo A., Kitai, Carol
openaire   +2 more sources

Multiples of hypercyclic operators [PDF]

Proceedings of the American Mathematical Society, 2008
We give a negative answer to a question of Prăjitură by showing that there exists an invertible bilateral weighted shift T T
Badea, Catalin, Grivaux, Sophie, Müller, Vladimir   +2 more
openaire   +4 more sources