A Hahn-Banach extension theorem for analytic mappings

Richard M. Aron; Paul D. Berner

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

Analytic functions in Banach spaces

Jacek Bochnak (1970)

Studia Mathematica

Similarity:

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.

Holomorphic functions on Fréchet spaces with Schauder basis.

Seán Dineen (1995)

Extracta Mathematicae

Similarity:

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.

On holomorphy in Banach spaces and absolute convergence of Fourier series

Matos, Mário C. (1988)

Portugaliae mathematica

Similarity:

p-trivial Banach spaces

J. Morrell, J. Retherford (1972)

Studia Mathematica

Similarity:

On the relationships between Hp(T,X/Y) and Hp(T,X)/ Hp(T,Y).

Arthur Michalak (1997)

Collectanea Mathematica

Similarity:

A note on absolutely P-summing operators.

C. Piñeiro (1994)

Collectanea Mathematica

Similarity: