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A note on a paper of E. Boasso and A. Larotonda: “A spectral theory for solvable Lie algebras of operators”

A note on a paper of E. Boasso and A. Larotonda: “A spectral theory for solvable Lie algebras of operators”

recently introduced a spectrum for complex solvable Lie algebras of operators, which agrees in the abelian case with the Taylor spectrum for several commuting operators, and proved that their spectrum also satisfies the projection property.This result is correct, but there seems to be a misunderstanding of a theorem of Cartan …