Linear resolvent growth of a weak contraction does not imply its similarity to a normal operator
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Publication:5954265
zbMath0994.47006MaRDI QIDQ5954265
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Publication date: 17 February 2002
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Structure theory of linear operators (47A65) Local spectral properties of linear operators (47A11)
Related Items (6)
Linearly similar Szökefalvi-Nagy–Foias model in a domain ⋮ An inequality between resolvents and determinants for operators in a Banach space ⋮ Linear resolvent growth test for similarity of a weak contraction to a normal operator ⋮ 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. ⋮ Spectrum perturbations of linear operators in a Banach space
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