Inverse-closed algebras of integral operators on locally compact groups
Functional Analysis
2014-08-21 v4 Operator Algebras
Abstract
We construct some inverse-closed algebras of bounded integral operators with operator-valued kernels, acting in spaces of vector-valued functions on locally compact groups. To this end we make systematic use of covariance algebras associated to -dynamical systems defined by the abelian -algebras of right uniformly continuous functions with respect to the left regular representation.
Keywords
Cite
@article{arxiv.1303.5346,
title = {Inverse-closed algebras of integral operators on locally compact groups},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:1303.5346},
year = {2014}
}
Comments
22 pages; accepted for publication in Annales Henri Poincare