Domain characterizations of certain functions of power-bounded operators
Tom 196 / 2010
Studia Mathematica 196 (2010), 265-288
MSC: Primary 47A60, 47A35; Secondary 47D03.
DOI: 10.4064/sm196-3-4
Streszczenie
We create a general framework for describing domains of functions of power-bounded operators given by power series with log-convex coefficients. This sheds new light on recent results of Assani, Derriennic, Lin and others. In particular, we resolve an open problem regarding the “one-sided ergodic Hilbert transform” formulated in a 2001 paper by Derriennic and Lin.
