info:eu-repo/semantics/article
Multi-orbital frames through model spaces
Fecha
2021-01Registro en:
Cabrelli, Carlos; Molter, Ursula Maria; Suárez, Daniel; Multi-orbital frames through model spaces; Birkhauser Verlag Ag; Complex Analysis and Operator Theory; 15; 16; 1-2021
1661-8254
1661-8262
CONICET Digital
CONICET
Autor
Cabrelli, Carlos
Molter, Ursula Maria
Suárez, Daniel
Resumen
We characterize the normal operators A on ℓ2 and the elements ai∈ ℓ2, with 1 ≤ i≤ m, such that the sequence {Ana1,…,Anam}n≥0is a frame. The characterization makes strong use of the pseudo-hyperbolic metric of D and is given in terms of the backward shift invariant subspaces of H2(D) associated to finite products of interpolating Blaschke products.