On unconditional bases in spaces of holomorphic functions in infinite dimensions
Let E be a Fréchet-Montel space or a (DF)-Montel space having a strong dual with an absolute basis. If the monomials on E associated with that basis form an unconditional basis for the space of all holomorphic functions on E endowed with the compact-open topology, then E is nuclear. This is an extension of Dineen's and Timoney's recent solution of the so- called basis problem.
scientific article; zbMATH DE number 4159413
scientific article