Validity of Closed Ideals in Algebras of Series of Square Analytic Functions

Abstract

We show the validity of a complete description of closed ideals of the algebra which is a commutative Banach algebra , that endowed with a pointwise operations act on Dirichlet space of algebra of series of analytic functions on the unit disk  satisfying the Lipscitz condition of order of square sequence  obtained by (Brahim Bouya, 2008), we introduce and deal with approximation square functions which is an outer functions to produce and show results in .