A Functional Calculus in a Non Commutative Setting

Authors

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

Document Type

Article

Publication Date

2007

Abstract

In this paper we announce the development of a functional calculus for operators defined on quaternionic Banach spaces. The definition is based on a new notion of slice regularity, see [6], and the key tools are a new resolvent operator and a new eigenvalue problem. This approach allows us to deal both with bounded and unbounded operators.

Comments

This article was originally published in Electronic Research Announcements in Mathematical Sciences, volume 14, in 2007.

Recommended Citation

Colombo, F., Gentili, G., Sabadini, I., Struppa, D.C.: A functional calculus in a non commutative setting. Electronic Research Announcements in Mathematical Sciences 14, 60–68 (2007). Retrieved from http://www.aimsciences.org/journals/pdfsnews.jsp?paperID=2888&mode=full

Peer Reviewed

1

Copyright

American Institute of Mathematical Sciences