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math.OA2000
Automatic closure of invariant linear manifolds for operator algebras
Allan Donsig, Alan Hopenwasser, David R. Pitts
Kadison's transitivity theorem implies that, for irreducible representations of C*-algebras, every invariant linear manifold is closed. It is known that CSL algebras have this prop…
math.OA2000
Limits of Finite Dimensional Nest Algebras
Alan Hopenwasser, Stephen C. Power
We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determ…