Orthogonal primitive idempotents and Banach algebras isomorphic withl2
Taqdir Husain · Pacific Journal of Mathematics · 1985
In this paper, a study of orthogonal primitive idempotents and minimal ideals in topological algebras with orthogonal bases has been made.Among other results, a structure theorem for Banach algebras with orthogonal bases has been proved, similar to Ambrose's structure theorem for 77*-algebras in the separable case.Furthermore, a necessary and sufficient condition is given for Banach algebras with orthogonal bases to be isomorphically homeomorphic with the Hilbert algebra / 2 .