Supercyclicity in the operator algebra using Hilbert-Schmidt operators

DOI10.1007/BF03031426zbMath1196.47009MaRDI QIDQ997559

J. Doroodgar, Hamid Rezaei, Bahmann Yousefi

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Hilbert-Schmidt operatorssupercyclic operatorstrong operator topologysupercyclicity criterion

Mathematics Subject Classification ID

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

Related Items (5)

Disjointness in supercyclicity on the algebra of Hilbert-Schmidt operators ⋮ Supercyclicity of multiplication on Banach ideal of operators ⋮ Weighted composition operators and supercyclicity criterion ⋮ Hereditarily transitive tuples ⋮ Supercyclicity and hypercyclicity of an isometry plus a nilpotent

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Hereditarily hypercylic operators
• Hypercyclicity on the algebra of Hilbert--Schmidt operators
• Universal Vectors for Operators on Spaces of Holomorphic Functions
• Hypercyclic Weighted Shifts
• Supercyclicity and weighted shifts
• Hypercyclic property of weighted composition operators
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