In this paper we characterize the closed invariant subspaces for the (∗-)multiplier operator of the quaternionic space of slice L^2 functions. As a consequence, we obtain the inner-outer factorization theorem for the quaternionic Hardy space on the unit ball and we provide a characterization of quaternionic outer functions in terms of cyclicity.
Shift invariant subspaces of slice L^2 functions / Monguzzi, Alessandro; Sarfatti, Giulia. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1798-2383. - STAMPA. - 43:(2018), pp. 1045-1061.
Shift invariant subspaces of slice L^2 functions
Giulia Sarfatti
2018-01-01
Abstract
In this paper we characterize the closed invariant subspaces for the (∗-)multiplier operator of the quaternionic space of slice L^2 functions. As a consequence, we obtain the inner-outer factorization theorem for the quaternionic Hardy space on the unit ball and we provide a characterization of quaternionic outer functions in terms of cyclicity.File in questo prodotto:
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