Some new examples of universal hypercyclic operators in the sense of Glasner and Weiss

DOI10.1090/tran/6855zbMath1421.47001arXiv1410.2957OpenAlexW2964164584MaRDI QIDQ5369006

Sophie Grivaux

Publication date: 11 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2957

zbMATH Keywords

frequently hypercyclic operatorsergodic theory of linear dynamical systemsisomorphisms of dynamical systemsuniversal hypercyclic operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items

Frequently hypercyclic operators with irregularly visiting orbits ⋮ Linear dynamical systems on Hilbert spaces: typical properties and explicit examples

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixing operators and small subsets of the circle
• Invariant measures for frequently hypercyclic operators
• A universal hypercyclic representation
• Linear chaos
• Ergodic theorems for convolutions of a measure on a group
• Frequently hypercyclic operators
• Invariant Gaussian measures for operators on Banach spaces and linear dynamics
• Frequently hypercyclic operators and vectors
• Difference sets and frequently hypercyclic weighted shifts

This page was built for publication: Some new examples of universal hypercyclic operators in the sense of Glasner and Weiss