paper

The Cesaro operator on L^2(0, 1)

arXiv:2604.19691

Abstract

This paper explores a version of the classical Ces`aro integral operator for the Lebesgue space L2(0, 1) where we discuss its norm, adjoint, spectral properties, and invariant subspaces. An important tool will be semigroups of weighted composition operators on L2(0, 1).

Small correction from the first version

The Cesaro operator on L^2(0, 1) · wovepaper