A joint similarity problem on vector-valued Bergman spaces

DOI10.1016/j.jfa.2008.11.022zbMath1168.47017OpenAlexW1990905326MaRDI QIDQ1019681

Frédéric Jaëck, Olivia Constantin

Publication date: 4 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.11.022

zbMATH Keywords

vector-valued Bergman spacelittle Hankel operatorjoint polynomial boundednessjoint complete polynomial boundednessjoint similarity to a pair of contractionssimilarity to a contraction

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Structure theory of linear operators (47A65) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (2)

Joint similarity for commuting families of power bounded matrices ⋮ A joint similarity problem for \(n\)-tuples of operators on vector-valued Bergman spaces

Cites Work

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• Every completely polynomially bounded operator is similar to a contraction
• On the similarity problem for polynomially bounded operators on Hilbert space
• Joint similarity problems and the generation of operator algebras with bounded length
• Polynomially unbounded product of two polynomially bounded operators
• Completely Bounded Homomorphisms of Operator Algebras
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• THE JOINT SIMILARITY PROBLEM FOR WEIGHTED BERGMAN SHIFTS
• Ten problems in Hilbert space

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