Disjoint supercyclic weighted translations generated by aperiodic elements

DOI10.1007/s13348-016-0164-4zbMath1459.47004OpenAlexW4232632027MaRDI QIDQ2364376

Lei Xia, Yu-Xia Liang

Publication date: 19 July 2017

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-016-0164-4

zbMATH Keywords

\(L^p\)-spacelocally compact groupsupercyclicityweighted translation

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (3)

Disjoint supercyclic weighted pseudo-shifts on Banach sequence spaces ⋮ Disjointness of the differentiation operator tuple on weighted Banach spaces of entire functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Supercyclic tuples of the adjoint weighted composition operators on Hilbert spaces
• Disjoint supercyclic weighted shifts
• Disjoint hypercyclic weighted translations generated by aperiodic elements
• Hypercyclic weighted translations generated by non-torsion elements
• Disjoint mixing operators
• Existence of disjoint weakly mixing operators that fail to satisfy the disjoint hypercyclicity criterion
• Disjoint hypercyclic linear fractional composition operators
• Dual disjoint hypercyclic operators
• Linear chaos
• Chaotic weighted translations on groups
• A short proof of existence of disjoint hypercyclic operators
• Supercyclic and Cesàro hypercyclic weighted translations on groups
• The strong disjoint blow-up/collapse property
• Disjoint mixing composition operators on the Hardy space in the unit ball
• Supercyclic translation \(C_0\)-semigroup on complex sectors
• Disjointness in hypercyclicity
• Weighted shifts and disjoint hypercyclicity
• Hypercyclic weighted translations on groups
• Supercyclicity and weighted shifts
• Disjoint supercyclic powers of weighted shifts on weighted sequence spaces
• Disjoint hypercyclic operators
• Hypercyclicity of weighted convolution operators on homogeneous spaces
• HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS
• On Central Topological Groups

This page was built for publication: Disjoint supercyclic weighted translations generated by aperiodic elements