Preduals of spaces of vector-valued holomorphic functions

Title:

Preduals of spaces of vector-valued holomorphic functions

Creator:

Boyd, Christopher

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f5a80b72-1086-4d74-8ea3-16caee2e2885
uuid:f5a80b72-1086-4d74-8ea3-16caee2e2885

Subject:

holomorphic functions, Fréchet spaces, and preduals

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

For $U$ a balanced open subset of a Fréchet space $E$ and $F$ a dual-Banach space we introduce the topology $\tau _\gamma $ on the space ${\mathcal H}(U,F)$ of holomorphic functions from $U$ into $F$. This topology allows us to construct a predual for $({\mathcal H}(U,F),\tau _\delta )$ which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

365-376

Source:

Czechoslovak Mathematical Journal | 2003 Volume:53 | Number:2

Harvested from:

CDK

Metadata only:

false