Lemniscates and \(K\)-spectral sets

DOI10.1016/j.jfa.2011.11.019zbMath1256.47011OpenAlexW2033374313MaRDI QIDQ665494

Olavi Nevanlinna

Publication date: 5 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.11.019

zbMATH Keywords

lemniscatesJacobi series\(K\)-spectral setsRiesz spectral projectionsvon Neumann spectral sets

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Spectral sets of linear operators (47A25)

Related Items (5)

Rational functions as new variables ⋮ Some remarks on an open Riemann surface with null boundary ⋮ Multicentric holomorphic calculus for \(n\)-tuples of commuting operators ⋮ Sylvester equations and polynomial separation of spectra ⋮ Tests for complete \(K\)-spectral sets

Cites Work

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• Multicentric holomorphic calculus
• Numerical range and functional calculus in Hilbert space
• Constants related to operators of class \(C_\rho\)
• Intersections of several disks of the Riemann sphere as \(K\)-spectral sets
• Computing the Spectrum and Representing the Resolvent
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• Generalization of von Neumann's spectral sets and integral representation of operators
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet

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