In this paper we characterize the closed invariant subspaces for the (*-)multiplier operator of the quaternionic space of slice L2 functions. As a consequence, we obtain the innerouter factorization theorem for the quaternionic Hardy space on the unit ball and we provide a characterization of quaternionic outer functions in terms of cyclicity.

(2018). Shift invariant subspaces of slice L2 functions [journal article - articolo]. In ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. Retrieved from http://hdl.handle.net/10446/202828

Shift invariant subspaces of slice L2 functions

Monguzzi, Alessandro;
2018-01-01

Abstract

In this paper we characterize the closed invariant subspaces for the (*-)multiplier operator of the quaternionic space of slice L2 functions. As a consequence, we obtain the innerouter factorization theorem for the quaternionic Hardy space on the unit ball and we provide a characterization of quaternionic outer functions in terms of cyclicity.
articolo
Monguzzi, Alessandro; Sarfatti, Giulia
(2018). Shift invariant subspaces of slice L2 functions [journal article - articolo]. In ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. Retrieved from http://hdl.handle.net/10446/202828
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/202828
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