Results 21 to 30 of about 412 (56)

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  

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  

Multiplicative structures of hypercyclic functions for convolution operators

, 2017
In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire ...
Bernal-González, Luis, Conejero, J. Alberto, Costakis, George, Seoane-Sepúlveda, Juan B.   +3 more
core   +1 more source

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

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

Universality on higher order Hardy spaces [PDF]

, 2005
We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by automorphisms of the unit disk in the setting of the higher order Hardy spaces.
Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo, Calderón Moreno, María del Carmen   +2 more
core  

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

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-lineability of sets of Birkhoff-universal functions with rapid decay [PDF]

, 2010
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an increasing positive function on the positive real numbers. We prove the existence of a dense linear manifold M of entire functions all of
Bernal González, Luis, Calderón Moreno, María del Carmen, Luh, Wolfgang   +2 more
core  

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
core   +1 more source