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A generalization of the Riesz-Fischer theorem

โœ Scribed by G. A. Fomin


Publisher
SP MAIK Nauka/Interperiodica
Year
1972
Tongue
English
Weight
225 KB
Volume
12
Category
Article
ISSN
0001-4346

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A Generalization of the Riesz Representa
โœ Yuh-Jia Lee ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB

Let C p be the collection of real-valued functions f defined on E &p such that f is uniformly continuous on bounded subsets of Then C is a complete countably normed space equipped with the family [&}& , p : p=1, 2, 3, ...] of norms. In this paper it is shown that to every bounded linear functional