Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589585 | Journal of Functional Analysis | 2016 | 22 Pages |
Abstract
Absolutely continuous commuting row contractions admit a weak-⁎ continuous functional calculus. Building on recent work describing the first and second dual spaces of the closure of the polynomial multipliers on the Drury–Arveson space, we give a complete characterization of these commuting row contractions in measure theoretic terms. We also establish that completely non-unitary row contractions are necessarily absolutely continuous, in direct parallel with the case of a single contraction. Finally, we consider refinements of this question for row contractions that are annihilated by a given ideal.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Raphaël Clouâtre, Kenneth R. Davidson,