K. Davidson

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20022005

most citedIsometric dilations of non-commuting finite rank

n

-tuples

12 citations · 14 across the 5 of their papers we have counts for

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Showing 2004 · math.OAShow all

3 papers · 2 filters

math.OA2004★ 12 cited

Isometric dilations of non-commuting finite rank $n$ -tuples

Kenneth R. Davidson, David W. Kribs, Miron E. Shpigel

A contractive $n$ -tuple $A = (A_{1}, ..., A_{n})$ has a minimal joint isometric dilation $S = (S_{1}, ..., S_{n})$ where the $S_{i}$ 's are isometries with pairwise orthogonal ranges. This determines…

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 $A_{n}$ . Absolutely continuous functionals are used to help identify…

math.OA2004

Generalized Berezin Transform and Commutator Ideals

Kenneth R. Davidson, Ronald G. Douglas

For a quasi-free module over a function algebra $A (Ω)$ , we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the com…

Isometric dilations of non-commuting finite rank n-tuples

Absolutely Continuous Representations and a Kaplansky Density Theorem for Free Semigroup Algebras

Generalized Berezin Transform and Commutator Ideals

Isometric dilations of non-commuting finite rank $n$ -tuples