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  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.
|Number of pages||13|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Early online date||02 May 2016|
|Publication status||Published - Sep 2016|