Power boundedness and similarity to contractions for some perturbations of isometries

DOI10.1016/j.jmaa.2003.12.020zbMath1065.47016OpenAlexW2086231543MaRDI QIDQ1827076

Dan Timotin, Gilles Cassier

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.020

zbMATH Keywords

power boundednesssimilarity to contractionsperturbations of isometries

Mathematics Subject Classification ID

Related Items (1)

Compact perturbations of isometries

Cites Work

• Every completely polynomially bounded operator is similar to a contraction
• Conditions for similarity to unitary and self-adjoint operators
• Finite rank perturbations of concentrations
• On embedding theorems for coinvariant subspaces of the shift operator. II.
• The Bellman function, the two-weight Hilbert transform, and embeddings of the model spaces \(K_\theta\)
• Carleson measures for functions orthogonal to invariant subspaces
• The distribution function inequality and products of Toeplitz operators and Hankel operators
• A contribution to the theory of divergent sequences
• Über die nichtreellen Werte einer totalreellen rationalen Funktion
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• Ten problems in Hilbert space
• A Counterexample to a Problem of SZ.-Nagy
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