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].
The Property (DN) and the Exponential Representation of Holomorphic Functions.
Unbounded symmetric homogeneous domains in spaces of operators
Unconditionally converging holomorphic mappings between Banach spaces
Uniform approximation of continuous functions and -functions in nuclear spaces by entire functions
Weighted diffeomorphism groups of Banach spaces and weighted mapping groups [Book]
Weighted spaces of holomorphic functions on Banach spaces
We deal with weighted spaces and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.