@article{The Arens-Calderon theorem for commutative topological algebras_2024, volume={39}, url={https://revista-em.unex.es/index.php/EM/article/view/2605-5686.39.1.19}, DOI={10.17398/2605-5686.39.1.19}, abstractNote={A theorem of Arens and Calderon states that if A is a commutative Banach algebra with Jacobson radical Rad(A), and if a0 , . . . , an∈ A with a0 ∈ Rad(A) and a1 an invertible element of k A, then there exists y ∈ Rad(A) such that Σ ak yk = 0. In this paper, we give extensions of this result to commutative non-normed topological algebras, as this is vital for extending an embedding theorem of Allan in [2] regarding the embedding of the formal power series algebra C[[X]] into a commutative Banach algebra. }, number={1}, journal={Extracta Mathematicae}, year={2024}, month={May}, pages={19–35} }