Joint spectra and nilpotent Lie algebras of linear transformations

DOI10.1016/S0024-3795(96)00481-8zbMath0965.47004arXiv1602.05079WikidataQ115340002 ScholiaQ115340002MaRDI QIDQ1368759

Enrico Boasso

Publication date: 6 August 2001

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05079

zbMATH Keywords

nilpotent Lie algebrajoint spectraLie algebra of linear transformations

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear transformations, semilinear transformations (15A04) Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• A spectral theory for solvable Lie algebras of operators
• A joint spectrum for several commuting operators
• Comparison of joint spectra for certain classes of commuting operators
• An infinite family of joint spectra
• Dual properties and joint spectra for solvable Lie algebras of operators

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