Results 71 to 80 of about 108 (97)

Gradient-Free De Novo Learning. [PDF]

open access: yesEntropy (Basel)
Friston K   +9 more
europepmc   +1 more source

IRREGULAR VECTORS AND SUBSPACE-HYPERCYCLIC OPERATORS

open access: yesInternational Journal of Pure and Apllied Mathematics, 2013
openaire   +1 more source

Common Hypercyclic Vectors and the Hypercyclicity Criterion

Integral Equations and Operator Theory, 2009
An operator on a separable, infinite dimensional Banach space satisfies the Hypercyclicity Criterion if and only if the associated left multiplication operator is hypercyclic; see [14], [16], [29]. By examining paths of operators where each operator along the path satisfies the criterion, we provide necessary and sufficient conditions for a path of ...
Rebecca Sanders
exaly   +2 more sources

Hypercyclic Operators on Vector-Valued Hardy Spaces

Iranian Journal of Science and Technology, Transaction A: Science, 2018
Let T be a bounded linear operator on a Banach space X and $$\varphi$$ be an analytic self-map of the unit disk $${\mathbb {D}}.$$
Hamid Rezaei, Rezaei Hamid
exaly   +2 more sources

Common hypercyclic vectors

2011
This chapter studies the existence of common hypercyclic vectors for families of operators. While countable families of hypercyclic operators on the same space automatically possess common hypercyclic vectors, this is no longer the case for uncountable families.
Karl-G. Grosse-Erdmann   +1 more
openaire   +1 more source

Frequently hypercyclic operators and vectors

Ergodic Theory and Dynamical Systems, 2007
We study frequently hypercyclic operators, a natural new concept in hypercyclicity that was recently introduced by F. Bayart and S. Grivaux. We derive a strengthened version of their Frequent Hypercyclicity Criterion, which allows us to obtain examples of frequently hypercyclic operators in a straightforward way. Moreover, Bayart and Grivaux have noted
Bonilla, A., Grosse-Erdmann, Karl
openaire   +2 more sources

Common hypercyclic vectors for unilateral weighted shifts on ℓ2

Journal of Operator Theory, 2021
Each w∈ℓ∞ defines a bacwards weighted shift Bw:ℓ2→ℓ2. A vector x∈ℓ2 is \textit{hypercyclic} for Bw if the set of forward iterates of x is dense in ℓ2. For each such w, the set HC(w) consisting of all vectors hypercyclic for Bw is Gδ. The set of \textit{common hypercyclic vectors} for a set W⊆ℓ∞ is the set HC∗(W)=⋂w∈WHC(w).
Konstantinos Beros, Paul B. Larson
openaire   +1 more source

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