2 citations · 4 across the 3 of their papers we have counts for
6 papers
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…
Norms of Schur Multipliers
Kenneth R. Davidson, Allan P. Donsig
A subset P of N x N is called Schur bounded if every infinite matrix with bounded entries which is zero off of P yields a bounded Schur multiplier on B(H). Such sets are characteri…
Analytic Partial Crossed Products
Allan P. Donsig, Alan Hopenwasser
Partial actions of discrete abelian groups can be used to construct both groupoid C*-algebras and partial crossed product algebras. In each case there is a natural notion of an ana…
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…
The Classification of Limits of 2n-cycle Algebras
Allan P. Donsig, S. C. Power
We obtain a complete classification of the locally finite algebras and the operator algebras, given as algebraic inductive limits and Banach algebraic inductive limits respectively…
Algebraic Isomorphism of Limit Algebras
Allan P. Donsig, Tim D. Hudson, Elias G. Katsoulis
We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider consequences of this result. In particular, we give partial solutions to a co…