Published August 31, 2001
| Version v1
Journal article
Darboux property of a non-additive set function
Description
As is known, the range of a finite positive non-atomic measure on a σ-algebra is a closed interval. In the present paper it is proved that this property holds also in a broad class of non-additive set functions on an F-algebra if the non-atomicity is replaced by the Saks property
Availability note (English)
Available from http://dx.doi.org/10.1070/SM2001v192n07ABEH000578Additional details
Identifiers
Publishing Information
- Journal Title
- Sbornik. Mathematics
- Journal Volume
- 192
- Journal Issue
- 7
- Journal Page Range
- p. 969-978
- ISSN
- 1064-5616
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40076161
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; FUNCTIONS; SET THEORY
- Descriptors DEC
- MATHEMATICS