Spectral properties for operators in a Lie algebra

Prado, Humberto

doi:10.1090/S0002-9939-1989-0947316-3

Spectral properties for operators in a Lie algebra
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by Humberto Prado

Proc. Amer. Math. Soc. 106 (1989), 527-530

DOI: https://doi.org/10.1090/S0002-9939-1989-0947316-3

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Abstract:

Given an exponentiable Lie algebra $\mathcal {L}$ of operators on a Hilbert space $\mathcal {H}$, we study the spectrum of those self-adjoint, non-adnilpotent operators $- iA$, with $A$ in $\mathcal {L}$, for a certain class of solvable Lie algebras $\mathcal {L}$.

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