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Analytic Approximations of Uniformly Continuous Functions in Real Banach Spaces

✍ Scribed by Manuel Cepedello Boiso; Petr Hájek

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
140 KB
Volume
256
Category
Article
ISSN
0022-247X

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✦ Synopsis

It is shown that if a separable real Banach space X admits a separating analytic Ž Ž . function with an additional condition property K , concerning uniform behaviour . of radii of convergence then every uniformly continuous mapping on X into any real Banach space Y can be approximated by analytic operators. In particular, the result applies to c .

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