On the similarity problem for polynomially bounded operators on Hilbert space
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Publication:1094649
DOI10.1007/BF02764943zbMath0631.47008MaRDI QIDQ1094649
Publication date: 1986
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Subnormal operators, hyponormal operators, etc. (47B20) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45)
Related Items (15)
On a question of Davidson and Paulsen ⋮ A sufficient condition for the similarity of a polynomially bounded operator to a contraction ⋮ Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree ⋮ On the resolvent of a dilation for polynomial bounded operators ⋮ Interpenetration of ellipsoids and the polynomial bound of a matrix ⋮ Quasisimilarity of power bounded operators and Blum-Hanson property ⋮ A polynomially bounded operator on Hilbert space which is not similar to a contraction ⋮ Weak product spaces of Dirichlet series ⋮ A joint similarity problem for \(n\)-tuples of operators on vector-valued Bergman spaces ⋮ Vectorial Hankel operators, Carleson embeddings, and notions of BMOA ⋮ Spectral domains in several complex variables ⋮ Polynomially bounded operators and Ext groups ⋮ A joint similarity problem on vector-valued Bergman spaces ⋮ Polynomial bounds for small matrices ⋮ Algebras of generalized Cauchy singular integral operators
Cites Work
- Every completely polynomially bounded operator is similar to a contraction
- New Banach space properties of the disc algebra and \(H^{\infty}\)
- Subalgebras of \(C^ *\)-algebras
- Completely Bounded Maps on C ∗ -Algebras and Invariant Operator Ranges
- On models for linear operators
- Completely Bounded Homomorphisms of Operator Algebras
- Ten problems in Hilbert space
- Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
- Positive Functions on C ∗ -Algebras
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