Hypercyclicity on the algebra of Hilbert--Schmidt operators

DOI10.1007/BF03322879zbMath1080.47013MaRDI QIDQ1762651

Hamid Rezaei, Bahmann Yousefi

Publication date: 11 February 2005

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

strong operator topologyhypercyclicity criterionHilbert--Schmidt operators

Mathematics Subject Classification ID

Algebras of operators on Banach spaces and other topological linear spaces (47L10) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (8)

Disjointness in supercyclicity on the algebra of Hilbert-Schmidt operators ⋮ Supercyclicity in spaces of operators ⋮ Disjoint linear dynamical properties of elementary operators ⋮ Recurrence and mixing recurrence of multiplication operators ⋮ Hereditarily transitive tuples ⋮ On the supercyclicity and hypercyclicity of the operator algebra ⋮ Supercyclicity in the operator algebra using Hilbert-Schmidt operators ⋮ Hypercyclicity of special operators on Hilbert function spaces

Cites Work

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• Operators with dense, invariant, cyclic vector manifolds
• Hereditarily hypercylic operators
• Orbits of hyponormal operators
• Universality and chaos for tensor products of operators.
• Cyclic phenomena for composition operators
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Hypercyclic operators that commute with the Bergman backward shift
• Hypercyclic Weighted Shifts
• On orbits of elements
• Hypercyclic subspaces of a Banach space

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