Shift-like operators on \(L^p(X)\)

DOI10.1016/J.JMAA.2022.126393OpenAlexW4281629029MaRDI QIDQ2154433

Udayan B. Darji, Martina Maiuriello, D'Aniello, Emma

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12103

zbMATH Keywords

mixingLi-Yorke chaoshypercyclicity\( L^p\) spacescomposition operators and weighted shiftsexpansivity and shadowing property

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Topological dynamics (37Bxx) General theory of linear operators (47Axx)

Related Items (6)

Hyperbolicity, shadowing, and convergent operators ⋮ Reprint of: On spaceability of shift-like operators on \(L^p\) ⋮ The interplay between recurrence and hypercyclicity in dissipative contexts ⋮ On spaceability of shift-like operators on \(L^p\) ⋮ On the existence of infinite-dimensional closed subspaces of frequently hypercyclic vectors for \(T_f\) ⋮ On the spectrum of weighted shifts

Cites Work

• Unnamed Item
• Linear chaos
• Li-Yorke and distributionally chaotic operators
• Topological transitivity and mixing of composition operators
• Expansivity and shadowing in linear dynamics
• Dynamics of generalized hyperbolic linear operators
• Generalized hyperbolicity and shadowing in \(L^p\) spaces
• Li-Yorke chaos for composition operators on \(L^p\)-spaces
• Li–Yorke chaos in linear dynamics
• Shadowing and structural stability for operators
• Linear dynamics induced by odometers
• A generalized Grobman-Hartman theorem
• Chaos and frequent hypercyclicity for composition operators
• Difference sets and frequently hypercyclic weighted shifts

This page was built for publication: Shift-like operators on \(L^p(X)\)