Non commutative functional calculus: bounded operators

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

10.1007/s11785-009-0015-3

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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