The Vitali-Hahn-Saks and Nikodym theorems for additive functions. II

DOI10.1090/S0002-9904-1973-13302-6zbMath0264.28006OpenAlexW1988142229MaRDI QIDQ5680346

Richard B. Darst

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13302-6

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items

The Schur and Phillips lemmas for topological groups, Boundedness of vector-valued exterior measures, The Lebesgue decomposition for lattices of projection operators, On Vitaly-Hahn-Saks-Nikodym theorems, The principle of uniform boundedness for topological measures

Cites Work

• On a theorem of Nikodym with applications to weak convergence and von Neumann algebras
• The Hahn-Vitali-Saks and the uniform boundedness theorem in topological groups
• Decomposition of additive set functions
• The Vitali-Hahn-Saks and Nikodym theorems for additive set functions
• The Lebesgue decomposition