Complex Analysis and Operator Theory

, Volume 7, Issue 4, pp 1321–1335 | Cite as

On Orbits of Functions of the Volterra Operator

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Abstract

We study asymptotic properties of certain functions of the Volterra integral operator V in L p [0, 1] (1 ≤ p ≤ ∞). We also prove the Ritt property under minimal spectral assumptions for some functions of V in L 2[0, 1].

Keywords

Volterra operator Fractional powers Orbits of operators Ritt property 

Mathematics Subject Classification

47A10 47G10 
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Copyright information

© Springer Basel AG 2012

Authors and Affiliations

  1. 1.Department of MathematicsBen Gurion University of the NegevBeer ShebaIsrael

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