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math.OA2005★ 1 cited
Coordinate Systems and Bounded Isomorphisms for Triangular Algebras
Allan P. Donsig, David R. Pitts
For a Banach D-bimodule M over an abelian unital C*-algebra D, we define E(M) as the collection of norm-one eigenvectors for the dual action of D on the Banach space dual of M. Equ…
math.OA2004
Absolutely Continuous Representations and a Kaplansky Density Theorem for Free Semigroup Algebras
Kenneth R. Davidson, Jiankui Li, David R. Pitts
We introduce notions of absolutely continuous functionals and representations on the non-commutative disk algebra . Absolutely continuous functionals are used to help identify…
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…