Linear resolvent growth test for similarity of a weak contraction to a normal operator

DOI10.1007/BF02388793zbMath1031.47003MaRDI QIDQ1409063

Stanislav Kupin

Publication date: 30 September 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

spectrumcomplex separable Hilbert spacesimilarity to a normal operatorSz-Nagy-Foiaş model

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (8)

Linearly similar Szökefalvi-Nagy–Foias model in a domain ⋮ Bilateral weighted shift operators similar to normal operators ⋮ Asymptotic limits of operators similar to normal operators ⋮ Spectrum and resolvent of a partial integral operator ⋮ INEQUALITIES OF THE CARLEMAN TYPE FOR SCHATTEN-VON NEUMANN OPERATORS ⋮ Resolvent criteria for similarity to a normal operator with spectrum on a curve ⋮ Linear resolvent growth of rank one perturbation of a unitary operator does not imply its similarity to a normal operator. ⋮ Operator inequalities implying similarity to a contraction

Cites Work

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• On the existence of a largest subharmonic minorant of a given function
• Unconditional bases of invariant subspaces of a contraction with finite defects
• Resolvent Tests for Similarity to a Normal Operator
• Linear resolvent growth of a weak contraction does not imply its similarity to a normal operator

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