Disjoint and simultaneously hypercyclic pseudo-shifts

DOI10.1016/J.JMAA.2022.126130OpenAlexW4214906956MaRDI QIDQ2122171

Rebecca Sanders, Özgür Martin, Nurhan Çolakoğlu

Publication date: 6 April 2022

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

Full work available at URL: https://arxiv.org/abs/2112.04884

zbMATH Keywords

weighted shiftshypercyclic vectorshypercyclic operatorsdisjoint hypercyclicitypseudo-shifts

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• Existence of disjoint weakly mixing operators that fail to satisfy the disjoint hypercyclicity criterion
• Simultaneous universality
• Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces
• Disjoint supercyclic weighted pseudo-shifts on Banach sequence spaces
• Disjoint hypercyclic weighted pseudoshift operators generated by different shifts
• Rolewicz-type chaotic operators
• The strong disjoint blow-up/collapse property
• Disjointness in hypercyclicity
• Weighted shifts and disjoint hypercyclicity
• Hypercyclic and chaotic weighted shifts
• Hypercyclic Weighted Shifts
• Disjoint and simultaneous hypercyclic Rolewicz-type operators
• Disjoint hypercyclic operators
• On orbits of elements

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