Schur class operator functions and automorphisms of Hardy algebras.
Some applications of projective tensor products to holomorphy.
Some integral representations of differentiable functions.
Spaces of holomorphic mappings on Banach spaces with a Schauder basis
We show that if U is a balanced open subset of a separable Banach space with the bounded approximation property, then the space ℋ(U) of all holomorphic functions on U, with the Nachbin compact-ported topology, is always bornological.
Spectra of algebras of analytic functions on a Banach spaces.
Structure of spaces of germs of holomorphic functions.
Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(OE)]' ∈ (Ω) (resp. [H(OE)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if Hb(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].