Domain characterizations of certain functions of power-bounded operators

• Autorzy: Markus Haase , Yuri Tomilov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A35: Ergodic theory
• 47D03: Groups and semigroups of linear operators
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 196
• Numer: 3
• Strony: 265-288

Daty

wydano

2010

Twórcy

autor

Markus Haase

• Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands

autor

Yuri Tomilov

• Faculty of Mathematics and Computer Science, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/sm196-3-4