Spectral Properties for Operators in a Lie Algebra
Spectral Properties for Operators in a Lie Algebra
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 $\mathcal {L}$.