Displaying similar documents to “A Hahn-Banach extension theorem for analytic mappings”

Spaces of holomorphic mappings on Banach spaces with a Schauder basis

Jorge Mujica (1997)

Studia Mathematica

Similarity:

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.

Analytic functions on c.

Richard M. Aron, Josip Globevnik (1989)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

Weighted spaces of holomorphic functions on Banach spaces

D. García, M. Maestre, P. Rueda (2000)

Studia Mathematica

Similarity:

We deal with weighted spaces H V 0 ( U ) 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.