Results 1 to 10 of about 195 (40)
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
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
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
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
k-bitransitive and compound operators on Banach spaces [PDF]
, 2015 In this this paper, we introduce new classes of operators in complex Banach spaces, which we call k-bitransitive operators and compound operators to study the direct sum of diskcyclic operators.
Bamerni, Nareen, Kılıçman, Adem
core +3 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
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
Existence and nonexistence of hypercyclic semigroups [PDF]
, 2007 In these notes we provide a new proof of the existence of a hypercyclic uniformly continuous semigroup of operators on any separable infinitedimensional Banach space that is very different from –and considerably shorter than– the one recently given by ...
Bernal González, Luis +1 more
core
Rolewicz-type chaotic operators
, 2015 In this article we introduce a new class of Rolewicz-type operators in l_p, $1 \le p < \infty$. We exhibit a collection F of cardinality continuum of operators of this type which are chaotic and remain so under almost all finite linear combinations ...
Bongiorno, D. +2 more
core +1 more source