1. Localisation techniques for division in Douglas algebras
- Author
-
Suarez, Fernando Daniel
- Subjects
purl.org/becyt/ford/1 [https] ,DIVISION ,ABSTRACT ALGEBRA ,Matemáticas ,ANALYTIC FUNCTIONS ,purl.org/becyt/ford/1.1 [https] ,INTERPOLATION ,MATHEMATICAL THEOREMS ,FACTORIZATION ,CIENCIAS NATURALES Y EXACTAS ,Matemática Pura ,SUBALGEBRAS ,APPROXIMATION - Abstract
In this paper we use uniform algebra techniques and recent results on separation properties to prove several division theorems for closed subalgebras of L∞ containing H∞. We also study ideals having the local approximation property and we show that not every ideal in such algebras is local. Fil: Suarez, Fernando Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
- Published
- 2001