| Title:
|
Dieudonné-type theorems for lattice group-valued $k$-triangular set functions (English) |
| Author:
|
Boccuto, Antonio |
| Author:
|
Dimitriou, Xenofon |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
233-251 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
lattice group |
| Keyword:
|
$(D)$-convergence |
| Keyword:
|
$k$-triangular set function |
| Keyword:
|
$(s)$-bounded set function |
| Keyword:
|
Fremlin lemma |
| Keyword:
|
limit theorem |
| Keyword:
|
Brooks–Jewett theorem |
| Keyword:
|
Dieudonné theorem |
| Keyword:
|
Nikodým boundedness theorem |
| MSC:
|
28A12 |
| MSC:
|
28A33 |
| MSC:
|
28B10 |
| MSC:
|
28B15 |
| MSC:
|
40A35 |
| MSC:
|
46G10 |
| idZBL:
|
Zbl 07144936 |
| idMR:
|
MR4014585 |
| DOI:
|
10.14736/kyb-2019-2-0233 |
| . |
| Date available:
|
2019-09-30T14:54:58Z |
| Last updated:
|
2020-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147835 |
| . |
| Reference:
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