Open AccessValidity of Closed Ideals in Algebras of Series of Square Analytic Functions
Author(s) -
Musa Siddig,
Shawgy Hussein,
Amani Elseid
Publication year - 2021
Publication title -
applied science and innovative research
Language(s) - English
Resource type - Journals
eISSN - 2474-4980
pISSN - 2474-4972
DOI - 10.22158/asir.v5n1p20
Subject(s) - mathematics , pointwise , square (algebra) , series (stratigraphy) , algebra over a field , unit disk , pure mathematics , space (punctuation) , analytic function , commutative property , order (exchange) , dirichlet series , dirichlet distribution , mathematical analysis , computer science , paleontology , geometry , finance , economics , boundary value problem , biology , operating system
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 .