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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…