Reflexivity for a class of subspace lattices
Elias G. Katsoulis · Mathematical Proceedings of the Cambridge Philosophical Society · 1996
Abstract The complete lattice generated by a totally atomic CSL ℒ and the projection lattice of a von Neumann algebra ℛ, commuting with ℒ, is reflexive. From this it follows that the strongly closed lattice generated by any CSL ℒ and the projection lattice of a properly infinite von Neumann algebra ℛ, commuting with ℒ, is reflexive.