Modified cauchy kernels and functional calculus for operators on Banach space

Journal of the Australian Mathematical Society

Edwin Franks¹ 

关键词: primary 47A60;   

DOI  :  10.1017/S1446788700000331

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In Banach space operators with a bounded H∞ functional calculus, Cowling et al. provide some necessary and sufficient conditions for a type-ω operator to have a bounded H∞ functional calculus. We provide an alternate development of some of their ideas using a modified Cauchy kernel which is L1 with respect to the measure ]dz]/]z]. The method is direct and has the advantage that no transforms of the functions are necessary.

【 授权许可】

Unknown