A joint similarity problem for \(n\)-tuples of operators on vector-valued Bergman spaces
DOI10.1016/j.jfa.2009.10.012zbMath1196.47003OpenAlexW2094439706MaRDI QIDQ961499
Publication date: 31 March 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.10.012
Hankel operatorsvector-valued Bergman spacesjoint polynomial boundednessjoint similarity to an \(n\)-tuple of contractions
Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces of continuous, differentiable or analytic functions (46E20)
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Cites Work
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- Every completely polynomially bounded operator is similar to a contraction
- A joint similarity problem on vector-valued Bergman spaces
- 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
- On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
- Unitary dilations for commuting contractions
- 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
- Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
- Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
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