Geodesic
Domain characterizations of certain functions of power-bounded operators
Markus Haase 1   ; Yuri Tomilov 2
1 Delft Institute of Applied Mathematics Delft University of Technology P.O. Box 5031 2600 GA Delft, The Netherlands
2 Faculty of Mathematics and Computer Science Nicolas Copernicus University Chopina 12/18 87-100 Toruń, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Studia Mathematica, Tome 196 (2010) no. 3, pp. 265-288 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm196-3-4
Keywords: create general framework describing domains functions power bounded operators given power series log convex coefficients sheds light recent results assani derriennic lin others particular resolve problem regarding one sided ergodic hilbert transform formulated paper derriennic lin

Markus Haase  1   ; Yuri Tomilov  2

1 Delft Institute of Applied Mathematics Delft University of Technology P.O. Box 5031 2600 GA Delft, The Netherlands
2 Faculty of Mathematics and Computer Science Nicolas Copernicus University Chopina 12/18 87-100 Toruń, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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Markus Haase; Yuri Tomilov. Domain characterizations of certain
 functions of power-bounded operators. Studia Mathematica, Tome 196 (2010) no. 3, pp. 265-288. doi: 10.4064/sm196-3-4

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