Typical operators admit common cyclic vectors

DOI10.1090/S0002-9939-2013-11512-1zbMath1277.47013arXiv1008.2878OpenAlexW1981276748MaRDI QIDQ2839307

Pavel Zorin-Kranich

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2878

zbMATH Keywords

hypercyclic vectorcyclic vectortypical operatorweakly supercyclic vector

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (1)

On typical properties of Hilbert space operators

Cites Work

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• On typical properties of Hilbert space operators
• A ``typical contraction is unitary
• Common hypercyclic vectors and the hypercyclicity criterion
• Hypercyclic and cyclic vectors
• In general a measure preserving transformation is mixing
• Category theorems for stable operators on Hilbert spaces
• Universal families and hypercyclic operators
• How to get common universal vectors

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