Weakly separated Bessel systems of model spaces
Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 723-742
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We show that any weakly separated Bessel system of model spaces in the Hardy space on the unit disc is a Riesz system and we highlight some applications to interpolating sequences of matrices. This will be done without using the recent solution of the Feichtinger conjecture, whose natural generalization to multidimensional model subspaces of ${\mathrm {H}}^2$ turns out to be false.
Mots-clés :
Inner functions of one complex variable, Blaschke products, Linear operators in reproducing-kernel, Hilbert spaces
Dayan, Alberto. Weakly separated Bessel systems of model spaces. Canadian mathematical bulletin, Tome 65 (2022) no. 3, pp. 723-742. doi: 10.4153/S0008439521000850
@article{10_4153_S0008439521000850,
author = {Dayan, Alberto},
title = {Weakly separated {Bessel} systems of model spaces},
journal = {Canadian mathematical bulletin},
pages = {723--742},
year = {2022},
volume = {65},
number = {3},
doi = {10.4153/S0008439521000850},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521000850/}
}
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