The vector measures whose range is strictly convex

DOI10.1006/JMAA.1998.6215zbMath0933.46038OpenAlexW1998593547MaRDI QIDQ1284505

Stefano Bianchini, Carlo Mariconda

Publication date: 29 March 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/434aa56f71dcc5aa5c425a6dfbc12cbf269451dc

zbMATH Keywords

total variationdensityChebyshev systemsdeterminantrangestrictly convexLyapunov theoremexposed pointrange of a vector measureChebyshew measure

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Measures and integrals in product spaces (28A35)

Related Items (1)

Extremal faces on the range of a vector measure and a theorem of Lyapunov

Cites Work

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• Two dimensional zonoids and Chebyshev measures
• Oriented measures with continuous densities and the bang-bang principle
• Oriented measures
• Measures whose range is a ball
• Continuous selections for a class of non-convex multivalued maps
• On the Structure of Locally Solid Topologies
• Measurable relations
• Chebyshev measures
• On Bang–Bang Constrained Solutions of a Control System
• A Class of Convex Bodies
• On a generalization of a theorem of Lyapunov

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