Spectral Permanence for Joint Spectra

DOI10.2307/1999867zbMath0491.47020OpenAlexW4247724800MaRDI QIDQ3952690

Raúl E. Curto

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999867

zbMATH Keywords

Koszul complexvon Neumann algebrasjoint spectraTaylor spectrumspectral permanenceuniversal representationSlodkowski's spectra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Spectrum, resolvent (47A10) General theory of (C^*)-algebras (46L05) Equations involving linear operators, with operator unknowns (47A62) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (5)

Taylor and Harte spectra for commuting triangular pairs and 2-variable weighted shifts ⋮ Invariance of spectrum for representations of $\mathrm {C}*$-algebras on Banach spaces ⋮ The spectral picture of \((L_ A,R_ B)\) ⋮ On the semi-hyponormal n-tuple of operators ⋮ On closures of joint similarity orbits

Cites Work

• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• On joint spectra of commuting families of operators
• An infinite family of joint spectra
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