INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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Polynomials in the Volterra and Ritt operators

Dashdondog Tsedenbayar¹, Jaroslav Zemánek²
Banach Center Publ. 67 (2005), 385-390
doi:10.4064/bc67-0-31

Abstract: We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.


MSC (2000): 47A10, 47A35, 47G10.
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1. UFR Mathématiques
   Université de Lille I
   59655 Villeneuve d'Ascq Cedex
   France
   
2. Institute of Mathematics
   Polish Academy of Sciences
   Śniadeckich 8
   P.O. Box 21
   00-956 Warszawa
   Poland
   

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