ABSTRACT

In the following we use the notation C+(g) from Definition 7.1. The following result shows that, to an L∗-ideal of a real involutive Banach-Lie algebra, one can “often” associate in a natural way an equivariant monotone operator.

PROPOSITION 8.1 Let g be a real involutive Banach-Lie algebra. Consider a real L∗-algebra X and ϕ ∈ Hom∗(X, g) with Kerϕ = {0} and