|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|4589585||1334888||2016||22 صفحه PDF||سفارش دهید||دانلود رایگان|
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.
Journal: Journal of Functional Analysis - Volume 271, Issue 3, 1 August 2016, Pages 620–641