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A property of locally convex Baire spaces

✍ Scribed by Aaron R. Todd; Stephen A. Saxon


Publisher
Springer
Year
1973
Tongue
English
Weight
742 KB
Volume
206
Category
Article
ISSN
0025-5831

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## Reflexive BANACH spaces and separable duals of BANAOE s p ~c e s possess the RADON-NIXODYM Property. The purpose of this paper is to extend these results to locally convex spaces. As the examples will show, these RNP-spaces include most spaces which occur frequently in Functional Analysis.

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We give a topological version of a classical result of F. Sunyer Balaguer's on a local characterization of real polynomials. This is done by studying a certain property on a class of connected Baire spaces, thus allowing us to obtain a local characterization of repeated integrals of analytic maps on