Schur-type theorems for k-triangular lattice group-valued set functions with respect to filter convergence

2017 ◽  
Vol 11 ◽  
pp. 2825-2833
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou
Keyword(s):  
Triangular Lattice ◽  
Lattice Group ◽  
Set Functions ◽  
Filter Convergence

scholarly journals Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting

2016 ◽  
Vol 65 (1) ◽  
pp. 1-21
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou
Keyword(s):  
Limit Theorems ◽  
Open Problems ◽  
Lattice Group ◽  
Set Functions ◽  
Filter Convergence

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.

scholarly journals Dieudonné-type theorems for lattice group-valued k-triangular set functions

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

scholarly journals Abstract Theorems on Exchange of Limits and Preservation of (Semi)continuity of Functions and Measures in the Filter Convergence Setting

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Antonio Boccuto ◽  
Xenofon Dimitriou
Keyword(s):  
Limit Theorems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Open Problems ◽  
Set Functions ◽  
Filter Convergence ◽  
Abstract Structure ◽  
Necessary And Sufficient

We give necessary and sufficient conditions for exchange of limits of double-indexed families, taking values in sets endowed with an abstract structure of convergence, and for preservation of continuity or semicontinuity of the limit family, with respect to filter convergence. As a consequence, we give some filter limit theorems and some characterization of continuity and semicontinuity of the limit of a pointwise convergent family of set functions. Furthermore, we pose some open problems.

1H-NMR study of Mott insulator κ -(ET)2Cu2(CN)3with isotropic triangular lattice

2004 ◽  
Vol 114 ◽  
pp. 377-378 ◽  
Author(s):  
Y. Shimizu ◽  
K. Miyagawa ◽  
K. Oda ◽  
K. Kanoda ◽  
M. Maesato ◽  
...  
Keyword(s):  
1H Nmr ◽  
Triangular Lattice ◽  
Mott Insulator ◽  
Nmr Study

Triangular lattice antiferromagnet RbFe(MoO4)2

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