Algebras generated by two bounded holomorphic functions
| dc.creator | Stessin, Michael I. | |
| dc.creator | Thomas, Pascal J. | |
| dc.date | 2001-01-21 | |
| dc.date | 2002-09-06 | |
| dc.date.accessioned | 2026-07-07T04:39:44Z | |
| dc.date.available | 2026-07-07T04:39:44Z | |
| dc.description | We study the closure in the Hardy space or the disk algebra of algebras generated by two bounded functions, of which one is a finite Blaschke product. We give necessary and sufficient conditions for density or finite codimension of such algebras. The conditions are expressed in terms of the inner part of a function which is explicitly derived from each pair of generators. Our results are based on identifying z-invariant subspaces included in the closure of the algebra. Versions of these results for the case of the disk algebra are given. | |
| dc.description | 22 pages ; a number of minor mistakes have been corrected, and some points clarified. Conditionally accepted by Journal d'Analyse Mathematique | |
| dc.identifier | https://arxiv.org/abs/math/0101171 | |
| dc.identifier | http://arxiv.org/abs/math/0101171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60789 | |
| dc.subject | Complex Variables | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 30D55 (primary), 46E25, 30D50 (secondary) | |
| dc.title | Algebras generated by two bounded holomorphic functions | |
| dc.type | text |