نتایج جستجو برای: subspace frequently hypercyclic operators

تعداد نتایج: 293533  

2013
Frédéric Bayart Imre Ruzsa IMRE Z. RUZSA

We solve several problems on frequently hypercyclic operators. Firstly, we characterize frequently hypercyclic weighted shifts on l(Z), p ≥ 1. Our method uses properties of the difference set of a set with positive upper density. Secondly, we show that there exists an operator which is U-frequently hypercyclic, yet not frequently hypercyclic and that there exists an operator which is frequently...

2009
VLADIMIR MÜLLER

We study hypercyclicity properties of functions of Banach space operators. Generalizations of the results of Herzog-Schmoeger and Bermudez-Miller are obtained. As a corollary we also show that each non-trivial operator commuting with a generalized backward shift is supercyclic. This gives a positive answer to a conjecture of Godefroy and Shapiro. Furthermore, we show that the norm-closures of t...

Journal: :Ergodic Theory and Dynamical Systems 2009

Journal: :International Journal of Pure and Apllied Mathematics 2013

Journal: :Journal of Mathematical Analysis and Applications 2013

Journal: :Journal of Functional Analysis 2020

Journal: :International Journal of Mathematical Analysis 2014

2005
V. Müller

We show that each power bounded operator with spectral radius equal to one on a reflexive Banach space has a nonzero vector which is not supercyclic. Equivalently, the operator has a nontrivial closed invariant homogeneous subset. Moreover, the operator has a nontrivial closed invariant cone if 1 belongs to its spectrum. This generalizes the corresponding results for Hilbert space operators. Fo...

Journal: :International Journal of Pure and Apllied Mathematics 2013

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