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Annales Henri Poincaré

, Volume 16, Issue 5, pp 1283–1306 | Cite as

Inverse-Closed Algebras of Integral Operators on Locally Compact Groups

  • Ingrid BeltiţăEmail author
  • Daniel Beltiţă
Article
First Online:

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 use of covariance algebras associated to C*-dynamical systems defined by the C*-algebras of right uniformly continuous functions with respect to the left regular representation.

Keywords

Integral Operator Compact Group Banach Algebra Left Ideal Integral Kernel 
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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Institute of Mathematics “Simion Stoilow” of the Romanian AcademyBucharestRomania

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