a2 Department of Mathematics, University of Hawaii, Honolulu, HI 96822-2273, United States of America e-mail: firstname.lastname@example.org
There is a natural Galois connection between subspace lattices and operator algebras on a Banach space which arises from the notion of invariance. If a subspace lattice is completely distributive, then is reflexive. In this paper we study the more general situation of complete lattices for which the least complete congruence δ on such that /δ is completely distributive is well-behaved. Our results are purely lattice theoretic, but the motivation comes from operator theory.
(Received February 11 1998)