On the resolvent of a dilation for polynomial bounded operators

DOI10.1007/BF01205288zbMath0822.47010MaRDI QIDQ1341062

Srdjan Petrovic

Publication date: 22 October 1995

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

zbMATH Keywords

similar to a contractiondilationinvariant subspacesgeneralized scalar operatorweakly centered polynomially bounded operator

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Generalized Scalar Operators as Dilations

Cites Work

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• Some invariant subspaces for subnormal operators
• Every completely polynomially bounded operator is similar to a contraction
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• On the similarity problem for polynomially bounded operators on Hilbert space
• On the structure of contraction operators. II
• A dilation theory for polynomially bounded operators
• Notes on invariant subspaces
• Littlewood functions, Hankel multipliers and power bounded operators on a Hilbert space
• Ten problems in Hilbert space
• A Counterexample to a Problem of SZ.-Nagy
• Some theorems on perturbation theory

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