Non commutative functional calculus: bounded operators
Spectral Theory
2010-03-30 v1
Abstract
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.
Cite
@article{arxiv.0708.3591,
title = {Non commutative functional calculus: bounded operators},
author = {F. Colombo and G. Gentili and I. Sabadini and D. C. Struppa},
journal= {arXiv preprint arXiv:0708.3591},
year = {2010}
}