On closures of joint similarity orbits

DOI10.1007/BF01204700zbMath0569.47018OpenAlexW2032549365MaRDI QIDQ1061361

Domingo A. Herrero, Raúl E. Curto

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01204700

zbMATH Keywords

quasi-nilpotentHarte spectrumjoint similarity orbitlimits of nilpotent and normal n-tuplesnoncommuting caseRota model for commuting n-tuples over the Taylor spectrumtotally disconnected spectrum

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Structure theory of linear operators (47A65)

Related Items (8)

Completely rank-nonincreasing linear maps ⋮ Weyl's theorem for commuting tuples of paranormal and $\ast $-paranormal operators ⋮ Universal compressions of representations of \(H^{\infty}(G)\) ⋮ An Introduction to Hilbert Module Approach to Multivariable Operator Theory ⋮ Joint similarity orbits with local cross sections ⋮ Ranks of linear matrix pencils separate simultaneous similarity orbits ⋮ The spectral picture of \((L_ A,R_ B)\) ⋮ Completely rank-nonincreasing linear maps on spaces of operators

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