Properties of the S-functional calculus for bounded operators

Colombo, F; Gantner, J; Kimsey, DP

doi:10.1007/978-3-030-03074-2_4

Properties of the S-functional calculus for bounded operators

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Abstract

© Springer Nature Switzerland AG 2018. In this chapter we will show that most of the properties that hold for the Riesz-Dunford functional calculus can be extended to the S-functional calculus. The proofs of the quaternionic results require several additional efforts with respect to the classical case.