Polynomials in the Volterra and Ritt operators

• Autorzy: Dashdondog Tsedenbayar , Jaroslav Zemánek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A35: Ergodic theory
• 47G10: Integral operators
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 385-390

Daty

wydano

2005

Twórcy

autor

Dashdondog Tsedenbayar

• UFR Mathématiques, Université de Lille I, 59655 Villeneuve d'Ascq Cedex, France

autor

Jaroslav Zemánek

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc67-0-31