Polynomially unbounded product of two polynomially bounded operators

DOI10.1007/BF01192126zbMath0896.47012MaRDI QIDQ1378128

Srdjan Petrovic

Publication date: 5 February 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

polynomially bounded operatorscanonical anticommutation relationsunilateral forward shiftoperator of Pisier

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

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

Cites Work

• Every completely polynomially bounded operator is similar to a contraction
• The Fourier coefficients of the boundary values of functions analytic in the disk and in the bidisk
• On centered and weakly centered operators
• Similarity problems and completely bounded maps

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