Domain characterizations of certain functions of power-bounded operators

Markus Haase; Yuri Tomilov

Domain characterizations of certain functions of power-bounded operators

Markus Haase; Yuri Tomilov

Studia Mathematica (2010)

Volume: 196, Issue: 3, page 265-288
ISSN: 0039-3223

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Abstract

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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.

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Markus Haase, and Yuri Tomilov. "Domain characterizations of certain functions of power-bounded operators." Studia Mathematica 196.3 (2010): 265-288. <http://eudml.org/doc/285552>.

@article{MarkusHaase2010,
abstract = {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.},
author = {Markus Haase, Yuri Tomilov},
journal = {Studia Mathematica},
keywords = {functional calculus; power-bounded operator; sectorial operator},
language = {eng},
number = {3},
pages = {265-288},
title = {Domain characterizations of certain functions of power-bounded operators},
url = {http://eudml.org/doc/285552},
volume = {196},
year = {2010},
}

TY - JOUR
AU - Markus Haase
AU - Yuri Tomilov
TI - Domain characterizations of certain functions of power-bounded operators
JO - Studia Mathematica
PY - 2010
VL - 196
IS - 3
SP - 265
EP - 288
AB - 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.
LA - eng
KW - functional calculus; power-bounded operator; sectorial operator
UR - http://eudml.org/doc/285552
ER -

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