On the spectrum of the operator which is a composition of integration and substitution

Ignat Domanov

doi:10.4064/sm185-1-3

paper

On the spectrum of the operator which is a composition of integration and substitution

arXiv:1301.4889 · doi:10.4064/sm185-1-3

Abstract

We study the spectrum of the Volterra composition operator in the space $L_{2} [0, 1]$

The results of this paper were included without a reference to it in the following paper: A. Montes, A. Rodríguez-Martínez, S. A. Shkarin; Spectral theory of Volterra-composition operators, Math. Z. 261(2009), no. 2, 431-472