Non-commutative Functional Calculus: Unbounded Operators

Authors

Fabrizio Colombo, Politecnico di Milano
Graziano Gentili, Uni FlorenceFollow
Irene Sabadini, Politecnico di Milano
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

2010

Abstract

In a recent work, Colombo (in press)[1], we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from the above-mentioned work can be extended to the unbounded case, and we highlight the crucial differences between the two cases. In particular, we deduce a new eigenvalue equation, suitable for the construction of a functional calculus for operators whose spectrum is not necessarily real.

Comments

This article was originally published in Journal of Geometry and Physics, volume 60, issue 2, in 2010. DOI: 10.1016/j.geomphys.2009.09.011

Recommended Citation

Colombo, F., Gentili, G., Sabadini, I., & Struppa, D. C. (2010). Non-commutative functional calculus: Unbounded operators. Journal of Geometry and Physics, 60(2), 251-259. doi: 10.1016/j.geomphys.2009.09.011

Peer Reviewed

1

Copyright

Elsevier