Polynomials and multilinear forms on fully nuclear spaces
Preduals of spaces of vector-valued holomorphic functions
For a balanced open subset of a Fréchet space and a dual-Banach space we introduce the topology on the space of holomorphic functions from into . This topology allows us to construct a predual for 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....
Produits tensoriels d'espaces vectoriels topologiques
Pseudo-completeness in linear metrizable spaces