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$% E. Çalışkan, Approximation of holomorphic mappings on infinite dimensional spaces, Rev. Mat. Complut. 17 (2004), 411434.%$  

Approximation of Holomorphic Mappings on Infinite Dimensional Spaces

Erhan ÇALIŞKAN
Departamento de Matemática e Estatística
Universidade Federal de Campina Grande
Caixa Postal 10044
58109-970 Campina Grande, PB Brazil

Received: December 1, 2003
Accepted: Abril 26, 2004
ABSTRACT

In this article we examine necessary and sufficient conditions for the predual of the space of holomorphic mappings of bounded type, Gb(U)  , to have the approximation property and the compact approximation property and we consider when the predual of the space of holomorphic mappings, G(U)  , has the compact approximation property. We obtain also similar results for the preduals of spaces of m  -homogeneous polynomials,   m
Q( E)  .

Key words: holomorphic mappings, holomorphic mappings of bounded type, approximation property, compact approximation property.
2000 Mathematics Subject Classification:
46G20, 46B28, 46E50.