Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899836 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
Let G be a locally compact abelian group, let ν be a regular probability measure on G, let X be a Banach space, let Ï:GâB(X) be a bounded strongly continuous representation. Consider the average (or subordinated) operator S(Ï,ν)=â«GÏ(t)dν(t):XâX. We show that if X is a UMD Banach lattice and ν has bounded angular ratio, then S(Ï,ν) is a Ritt operator with a bounded Hâ functional calculus. Next we show that if ν is the square of a symmetric probability measure and X is K-convex, then S(Ï,ν) is a Ritt operator. We further show that this assertion is false on any non K-convex space X.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Florence Lancien, Christian Le Merdy,