Non Commutative Functional Calculus: Bounded Operators

作者：Colombo Fabrizio; Gentili Graziano; Sabadini Irene^*; Struppa Daniele C

来源：Complex Analysis and Operator Theory, 2010, 4(4): 821-843.

DOI：10.1007/s11785-009-0015-3

• Functional calculus
• Spectral theory
• Bounded operators

In this paper we develop a functional calculus for bounded operators defined on quaternionic Banach spaces. This calculus is based on the new notion of slice-regularity, see Gentili and Struppa (Acad Sci Paris 342:741-744, 2006) and the key tools are a new resolvent operator and a new eigenvalue problem.

• 出版日期2010