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Liapounov's theorem on the range of a vector measure and Pontryagin's maximum principle

✍ Scribed by Hubert Halkin


Publisher
Springer
Year
1962
Tongue
English
Weight
338 KB
Volume
10
Category
Article
ISSN
0003-9527

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The Range of Vector Measures over Topolo
✍ Daniel Wulbert πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

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