The Cesaro operator on L^2(0, 1)
Functional Analysis
2026-04-24 v2
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).
Cite
@article{arxiv.2604.19691,
title = {The Cesaro operator on L^2(0, 1)},
author = {Anil Belli and Ugur Gul and William T. Ross and Aristomenis G. Siskakis},
journal= {arXiv preprint arXiv:2604.19691},
year = {2026}
}
Comments
Small correction from the first version