Analytic equivalence and similarity of operators.

DOI10.1007/BF01193673zbMath1055.47002OpenAlexW2076184667MaRDI QIDQ1865907

Benoît Pruvost

Publication date: 15 July 2003

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

Full work available at URL: https://doi.org/10.1007/bf01193673

zbMATH Keywords

operator-valued analytic functionsgeneralized spectrumsimilarity to isometries

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Local spectral properties of linear operators (47A11)

Related Items (4)

A BOUND FOR SIMILARITY CONDITION NUMBERS OF UNBOUNDED OPERATORS WITH HILBERT–SCHMIDT HERMITIAN COMPONENTS ⋮ On condition numbers of spectral operators in a Hilbert space ⋮ Similarity problems, Følner sets and isometric representations of amenable semigroups ⋮ SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS

Cites Work

• Every completely polynomially bounded operator is similar to a contraction
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Analytic operator functions with compact spectrum. I. Spectral nodes, linearization and equivalence
• On analytic equivalence of operator polynomials
• The reduced minimum modulus
• Holomorphic Vector-Valued Functions on a Domain of Holomorphy
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