arXiv 0708.35912007-08-27math.SP

Non commutative functional calculus: bounded operators

F. Colombo, G. Gentili, I. Sabadini, D. C. Struppa

DOI：: 10.1007/s11785-009-0015-3

英文摘要：

In this paper we develop a functional calculus for bounded operators defined on quaternionic Banach spaces. This calculus is based on the notion of slice-regularity, see \cite{gs}, and the key tools are a new resolvent operator and a new eigenvalue problem.

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