12 citations · 14 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
Isometric dilations of non-commuting finite rank -tuples
Kenneth R. Davidson, David W. Kribs, Miron E. Shpigel
A contractive -tuple has a minimal joint isometric dilation where the 's are isometries with pairwise orthogonal ranges. This determines…
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…
Generalized Berezin Transform and Commutator Ideals
Kenneth R. Davidson, Ronald G. Douglas
For a quasi-free module over a function algebra , we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the com…