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

Journal of the Australian Mathematical Society

Brian Jefferies¹ 

[1] Bernd Straub

关键词: primary 47A60;    46H30;    secondary 47A25;    30G35;   

DOI  :  10.1017/S1446788700003499

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown