We study properties of subspace lattices related to the continuity of the map Lat and the notion of reflexivity. We characterize various "closedness" properties in different ways and give the hierarchy between them. We investigate several properties related to tensor products of subspace lattices and show that the tensor product of the projection lattices of two von Neumann algebras, one of which is injective, is reflexive.
This paper studies almost Hermitian, J-symmetric representations of *-algebras on Π^-spaces. It applies the results obtained to the theory of *-derivations δ of C*-algebras implemented by symmetric operators 5.
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