[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2004.41.1.131

A HAHN-BANACH EXTENSION THEOREM FOR ENTIRE FUNCTIONS OF NUCLEAR TYPE

Nishihara, Masaru (Department of computer science and engineering Fukuoka Institute of Technology)

Publication Information

Journal of the Korean Mathematical Society / v.41, no.1, 2004 , pp. 131-143 More about this Journal

Abstract

Let Ε and F be locally convex spaces over C. We assume that Ε is a nuclear space and F is a Banach space. Let f be a holomorphic mapping from Ε into F. Then we show that f is of uniformly bounded type if and only if, for an arbitrary locally convex space G containing Ε as a closed subspace, f can be extended to a holomorphic mapping from G into F.

Keywords

nuclear space; entire function; uniformly bounded type; holomorphic extension;

Citations & Related Records

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Reference

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