Some necessary and sufficient conditions for hypercyclicity criterion

DOI10.1007/BF02829627zbMath1084.47003arXivmath/0508312MaRDI QIDQ2483777

Hamid Rezaei, Bahmann Yousefi

Publication date: 1 August 2005

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508312

zbMATH Keywords

Hilbert spacesHilbert-Schmidt operatorshypercyclic operators

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (6)

Hypercyclic property of weighted composition operators ⋮ Weighted composition operators and supercyclicity criterion ⋮ Hereditarily transitive tuples ⋮ On the supercyclicity and hypercyclicity of the operator algebra ⋮ Unnamed Item ⋮ Hypercyclicity of special operators on Hilbert function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operators with dense, invariant, cyclic vector manifolds
• Limits of hypercyclic and supercyclic operators
• Hypercyclic operators on non-normable Fréchet spaces
• Hereditarily hypercylic operators
• Linear structure of hypercyclic vectors
• Orbits of hyponormal operators
• Sequences of derivatives and normal families
• Cyclic phenomena for composition operators
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• A Hypercyclic Operator whose Adjoint is Also Hypercyclic
• Universal families and hypercyclic operators
• On operators T such that f(T) is hypercyclic
• Hypercyclic operators that commute with the Bergman backward shift
• Hypercyclic Weighted Shifts
• On orbits of elements

This page was built for publication: Some necessary and sufficient conditions for hypercyclicity criterion