It is shown that the direct integral decomposition of a non-self-adjoint operator algebra A has the diagonal A ∩ A* of this algebra as the algebra of diagonalizable operators if and only if almost all ...
Given an exponentiable Lie algebra L of operators on a Hilbert space H, we study the spectrum of those self-adjoint, non-adnilpotent operators -iA, with A in L, for a certain class of solvable Lie ...
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