Geodesic
Dieudonné-type theorems for lattice group-valued $k$-triangular set functions
Kybernetika, Tome 55 (2019) no. 2, pp. 233-251.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for $k$-triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.
DOI : 10.14736/kyb-2019-2-0233
Classification : 28A12, 28A33, 28B10, 28B15, 40A35, 46G10
Keywords: lattice group; $(D)$-convergence; $k$-triangular set function; $(s)$-bounded set function; Fremlin lemma; limit theorem; Brooks–Jewett theorem; Dieudonné theorem; Nikodým boundedness theorem 
@article{10_14736_kyb_2019_2_0233,
     author = {Boccuto, Antonio and Dimitriou, Xenofon},
     title = {Dieudonn\'e-type theorems for lattice group-valued $k$-triangular set functions},
     journal = {Kybernetika},
     pages = {233--251},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2019},
     doi = {10.14736/kyb-2019-2-0233},
     mrnumber = {4014585},
     zbl = {07144936},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-2-0233/}
}
TY  - JOUR
AU  - Boccuto, Antonio
AU  - Dimitriou, Xenofon
TI  - Dieudonné-type theorems for lattice group-valued $k$-triangular set functions
JO  - Kybernetika
PY  - 2019
SP  - 233
EP  - 251
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-2-0233/
DO  - 10.14736/kyb-2019-2-0233
LA  - en
ID  - 10_14736_kyb_2019_2_0233
ER  - 
%0 Journal Article
%A Boccuto, Antonio
%A Dimitriou, Xenofon
%T Dieudonné-type theorems for lattice group-valued $k$-triangular set functions
%J Kybernetika
%D 2019
%P 233-251
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-2-0233/
%R 10.14736/kyb-2019-2-0233
%G en
%F 10_14736_kyb_2019_2_0233
Boccuto, Antonio; Dimitriou, Xenofon. Dieudonné-type theorems for lattice group-valued $k$-triangular set functions. Kybernetika, Tome 55 (2019) no. 2, pp. 233-251. doi : 10.14736/kyb-2019-2-0233. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-2-0233/

Cité par Sources :