Ideals of the Fourier algebra, supports and harmonic operators

M. Anoussis, A. Katavolos, I. G. Todorov

Research output: Contribution to journalArticle

3 Citations (Scopus)
181 Downloads (Pure)

Abstract

We examine the common null spaces of families of HerzSchurmultipliers and apply our results to study jointly harmonic operatorsand their relation with jointly harmonic functionals. We show howan annihilation formula obtained in [1] can be used to give a short proofas well as a generalisation of a result of Neufang and Runde concerningharmonic operators with respect to a normalised positive definite function.We compare the two notions of support of an operator that havebeen studied in the literature and show how one can be expressed interms of the other.
Original languageEnglish
Pages (from-to)223-235
Number of pages13
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume161
Issue number2
Early online date02 May 2016
DOIs
Publication statusPublished - Sep 2016

Fingerprint Dive into the research topics of 'Ideals of the Fourier algebra, supports and harmonic operators'. Together they form a unique fingerprint.

Cite this