Results 1 to 10 of about 180 (23)
Monsters in Hardy and Bergman spaces [PDF]
, 2002 A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary.
Bernal González, Luis +1 more
core +1 more source
Difference sets and frequently hypercyclic weighted shifts [PDF]
, 2013 We solve several problems on frequently hypercyclic operators. Firstly, we characterize frequently hypercyclic weighted shifts on $\ell^p(\mathbb Z)$, $p\geq 1$.
Bayart, Frédéric, Ruzsa, Imre
core +3 more sources
Existence of common and upper frequently hypercyclic subspaces [PDF]
, 2014 We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences.
Bès, Juan, Menet, Quentin
core +2 more sources
An Extension of Hypercyclicity for N‐Linear Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Grosse‐Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N‐linear operators that is inspired by difference equations. Under this new notion, every separable infinite dimensional Fréchet space supports supercyclic N‐linear ...
Juan Bès +2 more
wiley +1 more source
Hypercyclic and mixing operator semigroups [PDF]
, 2011 We describe a class of topological vector spaces admitting a mixing uniformly continuous operator group ${T_t}_{t\in\C^n}$ with holomorphic dependence on the parameter $t$. This result covers those existing in the literature.
Bonet +6 more
core +2 more sources
Hypercyclic operators with an in¯nite dimensional closed subspace of periodic points [PDF]
, 2003 Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of ...
Grivaux, Sophie
core +2 more sources
Frequently hypercyclic translation semigroups [PDF]
, 2014 Frequent hypercyclicity for translation $C_0$-semigroups on weighted spaces of continuous functions is investigated. The results are achieved by establishing an analogy between frequent hypercyclicity for the translation semigroup and for weighted pseudo-
Mangino, Elisabetta M. +1 more
core +5 more sources
Order of growth of distributional irregular entire functions for the differentiation operator [PDF]
, 2016 We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given p ∈ [1,∞] and b ∈ (0, a), where a = 1 / 2 max{2, p}, we prove that there exists a distributionally ...
Bernal González, Luis +1 more
core +1 more source
Dynamics, Operator Theory, and Infinite Holomorphy
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris +3 more
wiley +1 more source
On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.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. The paper also demonstrates the existence of subspace codiskcyclic operators in finite‐dimensional Banach ...
Peter Masong Slaa +3 more
wiley +1 more source