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A topological version of Liapunov’s theorem

✍ Scribed by Hans G. Kellerer


Publisher
Springer
Year
1999
Tongue
English
Weight
91 KB
Volume
72
Category
Article
ISSN
0003-889X

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Let (X, 7, +) be a finite, nonatomic, measure space. Let G=span[g 1 , g 2 , ..., g n ] L 1 , and let the support of G be X, a.e. For f # L , put . This paper characterizes when the functions, s, in Liapunov's theorem can further be restricted to being the signs of continuous functions. That is, sup