ABSTRACT
The goal of this section is to introduce a class of Banach-Lie algebras and Banach-Lie groups that are very important for the applications we want to make in this chapter. We mean the pseudo-restricted groups and algebras. Such an algebra will be constructed out of an equivariant monotone operator, and the specific properties of these operators will turn out to have deep consequences for certain homogeneous spaces of groups associated with pseudorestricted algebras.
