𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Vector Measures Whose Range Is Strictly Convex

✍ Scribed by Stefano Bianchini; C. Mariconda


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
158 KB
Volume
232
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Necessary and Sufficient Convexity Condi
✍ Rudolf Herschbach πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 686 KB

The absence of atoms in Lyapunov's Convexity Theorem is a sufficient, but not a necessary condition for the convexity of the range of an n-dimensional vector memure. In this paper algebraic and topological convexity conditions generalizing Lyapunov's Theorem are developed which are sufficient and ne

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