On compact Hankel operators over compact Abelian groups
Functional Analysis
2020-06-23 v1
Abstract
We consider compact and connected Abelian group with a linearly ordered dual. Based on the description of the structure of compact Hankel operators over , generalizations of the classical Kronecker, Hartman, Peller and Adamyan-Arov-Krein theorems are obtained. A generalization of Burling's invariant subspace theorem is also established. Applications are given to Hankel operators over discrete groups
Cite
@article{arxiv.2006.12474,
title = {On compact Hankel operators over compact Abelian groups},
author = {A. R. Mirotin},
journal= {arXiv preprint arXiv:2006.12474},
year = {2020}
}
Comments
In Russian (English Abstract)