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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192389
The Corona Property in Nevanlinna quotient algebras and interpolating sequences
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Let $I$ be an inner function in the unit disk $\mathbb{D}$ and let $\mathcal{N}$ denote the Nevanlinna class. We prove that under natural assumptions, Bezout equations in the quotient algebra $\mathcal{N} / I \mathcal{N}$ can be solved if and only if the zeros of $I$ form a finite union of Nevanlinna interpolating sequences. This is in contrast with the situation in the algebra of bounded analytic functions, where being a finite union of interpolating sequences is a sufficient but not necessary condition. An analogous result in the Smirnov class is proved as well as several equivalent descriptions of Blaschke products whose zeros form a finite union of interpolating sequences in the Nevanlinna class.
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MASSANEDA CLARES, Francesc Xavier, NICOLAU NOS, Artur and THOMAS, Pascal J. The Corona Property in Nevanlinna quotient algebras and interpolating sequences. Journal of Functional Analysis. 2019. Vol. 276, num. 8, pags. 2636-2661. ISSN 0022-1236. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/192389