Some new results on Dieudonné-type theorems for k-triangular lattice group-valued set functions

2020 ◽  
Vol 13 (4) ◽  
pp. 495-502
Author(s):  
A. Boccuto
2016 ◽  
Vol 65 (1) ◽  
pp. 1-21
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou

Abstract We investigate some properties of lattice group-valued positive, monotone and k-subadditive set functions, and in particular, we give some comparisons between regularity and continuity from above. Moreover, we prove different kinds of limit theorems with respect to filter convergence. Furthermore, some open problems are posed.


Kybernetika ◽  
2019 ◽  
pp. 233-251
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou
Keyword(s):  

2004 ◽  
Vol 114 ◽  
pp. 377-378 ◽  
Author(s):  
Y. Shimizu ◽  
K. Miyagawa ◽  
K. Oda ◽  
K. Kanoda ◽  
M. Maesato ◽  
...  

2010 ◽  
Vol 180 (8) ◽  
pp. 880 ◽  
Author(s):  
Aleksandr I. Smirnov ◽  
L.E. Svistov ◽  
Lyudmila A. Prozorova ◽  
O.A. Petrenko ◽  
M. Hagiwara

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