Back to Search
Start Over
Equivalence Between Limit Theorems for Lattice Group-Valued k-Triangular Set Functions
- Source :
- Mediterranean Journal of Mathematics. 15
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- We investigate some of the main properties of lattice group-valued k-triangular set functions and we prove some Brooks–Jewett, Nikodým, Vitali–Hahn–Saks and Schur-type theorems and their equivalence. A Drewnowski-type theorem on existence of continuous restrictions of (s)-bounded set functions is given.
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
k-triangular set function
General Mathematics
010102 general mathematics
Lattice (group)
02 engineering and technology
Fremlin lemma
01 natural sciences
s bounded set function
Functional Analysis (math.FA)
Mathematics - Functional Analysis
Set function
FOS: Mathematics
0202 electrical engineering, electronic engineering, information engineering
continuous set function
limit theorem
020201 artificial intelligence & image processing
0101 mathematics
Lattice group, k-triangular set function, continuous set function, s bounded set function, Fremlin lemma, limit theorem
Lattice group
Mathematics
Subjects
Details
- ISSN :
- 16605454 and 16605446
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Mediterranean Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....929875a71facf2fa6010f15e0bdfcc86
- Full Text :
- https://doi.org/10.1007/s00009-018-1222-9