Full paper in PDF:
$% E. Çalışkan, Approximation of holomorphic mappings on infinite dimensional
spaces, Rev. Mat. Complut. 17 (2004), 411–434.%$
Approximation of Holomorphic Mappings on Infinite Dimensional Spaces
In this article we examine necessary and sufficient conditions for the predual
of the space of holomorphic mappings of bounded type,
, to have
the approximation property and the compact approximation property and we
consider when the predual of the space of holomorphic mappings,
, has the
compact approximation property. We obtain also similar results for the preduals
of spaces of
-homogeneous polynomials,
.
Key words: holomorphic mappings, holomorphic mappings of bounded type,
approximation property, compact approximation property.
2000 Mathematics Subject Classification: 46G20, 46B28, 46E50.