Results 21 to 30 of about 3,099 (194)
Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk +2 more
wiley +1 more source
The information capacity of hypercycles [PDF]
Journal of Theoretical Biology, 2008 Hypercycles are information integration systems which are thought to overcome the information crisis of prebiotic evolution by ensuring the coexistence of several short templates. For imperfect template replication, we derive a simple expression for the maximum number of distinct templates $n_m$ that can coexist in a hypercycle and show that it is a ...
Daniel Menezes Silvestre +1 more
openaire +4 more sources
Journal d'Analyse Mathématique, 2020 We completely characterize the finite dimensional subsets A of any separable Hilbert space for which the notion of A-hypercyclicity coincides with the notion of hypercyclicity, where an operator T on a topological vector space X is said to be A-hypercyclic if the set {T n x, n $\ge$ 0, x $\in$ A} is dense in X.
Charpentier, S., Ernst, R.
openaire +2 more sources
On some kinds of dense orbits in general nonautonomous dynamical systems
Nonautonomous Dynamical Systems, 2020 We study the theory of universality for the nonautonomous dynamical systems from topological point of view related to hypercyclicity. The conditions are provided in a way that Birkhoff transitivity theorem can be extended.
Pourbarat Mehdi
doaj +1 more source
Porosity and hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2005 We study if the set of hypercyclic vectors of a hypercyclic operator is the complement of a σ \sigma -porous set. This leads to interesting results for both points of view: a limitation of the size of hypercyclic vectors, and new examples of first category sets which are not σ \sigma -porous.
Frédéric Bayart
openalex +3 more sources
Chaos and frequent hypercyclicity for composition operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 2020 The notions of chaos and frequent hypercyclicity enjoy an intimate relationship in linear dynamics. Indeed, after a series of partial results, it was shown by Bayart and Ruzsa in 2015 that for backward weighted shifts on $\ell _p(\mathbb {Z})$, the ...
U. Darji, B. Pires
semanticscholar +1 more source
Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces
Concrete Operators, 2020 We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b).
Alhajj Rim
doaj +1 more source
Hypercyclic operators on spaces of block-symmetric analytic functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 The paper contains proof of the hypercyclicity of ``symmetrictranslation'' on the algebras of block-symmetric analyticfunctions of bounded type on an isomorphic copy of $ell_1$
V. V. Kravtsiv +2 more
doaj +3 more sources
Cyclicity, hypercyclicity and randomness in self-similar groups [PDF]
Monatshefte für Mathematik (Print)We introduce the concept of cyclicity and hypercyclicity in self-similar groups as an analogue of cyclic and hypercyclic vectors for an operator on a Banach space.
Jorge Fariña-Asategui
semanticscholar +1 more source
Simultaneous universality [PDF]
, 2017 In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector.
Bernal González, Luis, Jung, Andreas
core +2 more sources