Lacunas in the Support of the Weyl Calculus for Two Hermitian Matrices

Brian Jefferies, Bernd Straub
2003 Journal of the Australian Mathematical Society  
The connection between Clifford analysis and the Weyl functional calculus for a d-tuple of bounded selfadjoint operators is used to prove a geometric condition due to J. Bazer and D. H. Y. Yen for a point to be in the support of the Weyl functional calculus for a pair of hermitian matrices. Examples are exhibited in which the support has gaps. 2000 Mathematics subject classification: primary 47A60, 46H30; secondary 47A25, 30G35.
doi:10.1017/s1446788700003499 fatcat:hfbs3g7khrftvfcgb52fqwlqc4