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A generalization of the Riesz–Fischer theorem and linear summability methods

✍ Scribed by B. Brive; C. Finet; G.E. Tkebuchava

Book ID
113681694
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
196 KB
Volume
164
Category
Article
ISSN
0021-9045

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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