The S-functional calculus for unbounded operators

Colombo, F; Gantner, J; Kimsey, DP

doi:10.1007/978-3-030-03074-2_5

The S-functional calculus for unbounded operators

Downloads

Full text for this publication is not currently held within this repository. Alternative links are provided below where available.

Abstract

© Springer Nature Switzerland AG 2018. The S-functional calculus can also be defined for unbounded operators. We consider a two-sided quaternionic Banach space X and we introduce a notation for the set of unbounded operators that we consider in this chapter. These results are taken from the papers [67,97], where we reduce the case of unbounded operators, with suitable transformations, to the case of bounded operators. The direct approach has been studied in the more recent paper [124], while the S-resolvent equation is in [50].