Results 21 to 30 of about 394 (38)

Furstenberg theorem for frequently hypercyclic operators

, 2014
In this paper, we show that if the direct sum $T\oplus T$ of frequently hypercyclic operators is frequently hypercyclic, then every higher direct sum $T\oplus\cdots\oplus T$ is also frequently hypercyclic.Comment: 5pages ...
Kim, Eunsang, Park, Tae Ryong
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Exponential type of hypercyclic entire functions [PDF]

, 2002
In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential operators is considered, where every Φn is an entire function of exponential type.
Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo   +1 more
core  

Frequently hypercyclic operators with irregularly visiting orbits

, 2018
We prove that a bounded operator $T$ on a separable Banach space $X$ satisfying a strong form of the Frequent Hypercyclicity Criterion (which implies in particular that the operator is universal in the sense of Glasner and Weiss) admits frequently ...
Grivaux, Sophie
core   +2 more sources

Weighted Sequence Spaces and Cyclicity

Journal of Mathematical Extension, 2006
In this paper we investigate the cyclicity of the multiplication operator Mz acting on the weighted Hardy spaces of formal Laurent series. AMS Subject Classification: Primary 47B37; Secondary 47A16.
J. Doroodgar, B. Yousefi
doaj  

Hypercyclic Toeplitz operators

, 2016
We study hypercyclicity of the Toeplitz operators in the Hardy space $H^2(\mathbb{D})$ with symbols of the form $p(\bar{z}) +\phi(z)$, where $p$ is a polynomial and $\phi \in H^\infty(\mathbb{D})$.
Baranov, Anton, Lishanskii, Andrei
core   +1 more source

Orbits of linear operators and Banach space geometry

, 2012
Let $T$ be a bounded linear operator on a (real or complex) Banach space $X$. If $(a_n)$ is a sequence of non-negative numbers tending to 0. Then, the set of $x \in X$ such that $\|T^nx\| \geqslant a_n \|T^n\|$ for infinitely many $n$'s has a complement ...
Augé, Jean-Matthieu
core   +1 more source

Common hypercyclic functions for multiples of convolution and non-convolution operators [PDF]

, 2009
We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds
Bernal González, Luis
core  

Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc

Concrete Operators
These notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators, in a way that is accessible to beginners.
Fricain Emmanuel, Ostermann Maëva
doaj   +1 more source

Free dense subgroups of holomorphic automorphisms [PDF]

, 2013
We show the existence of free dense subgroups, generated by 2 elements, in the holomorphic shear and overshear group of complex-Euklidean space and extend this result to the group of holomorphic automorphisms of Stein manifolds with Density Property ...
Erlend, Fornæss Wold, Rafael B. Andrist
core  

Dense holomorphic curves in spaces of holomorphic maps and applications to universal maps

, 2017
We study when there exists a dense holomorphic curve in a space of holomorphic maps from a Stein space. We first show that for any bounded convex domain $\Omega\Subset\mathbb{C}^n$ and any connected complex manifold $Y$, the space $\mathcal{O}(\Omega,Y)$
Kusakabe, Yuta
core   +1 more source