Continuous Functional Calculus for Quaternionic Bounded Normal Operators

Abstract

In this article we give an approach to define continuous functional calculus for bounded quaternionic normal operators defined on a right quaternionic Hilbert space.

Submitted to a journal. There was a gap in the previous version. We have corrected it and stated all the results for bounded case

References in corpus (3)

• Continuous slice functional calculus in quaternionic Hilbert spaces
• Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures
• Spectral Theorem for quaternionic normal operators: Multiplication form

Cited by in corpus (1)

• Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem