Abstract
Publisher Summary This chapter discusses the approximation property for certain spaces of holomorphic mappings. After the preliminary definitions, the chapter studies space endowed with the topology of uniform convergence on strict compact subsets of E. The chapter proves that for a quasi-complete space E, few properties are equivalent such as E has the S-approximation property. It also discusses silva-holomorphic mappings. In the chapter, E and F are always locally convex complex Hausdorff spaces and U is a non-void open subset of E.
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