| Title:
|
An extension theorem for modular measures on effect algebras (English) |
| Author:
|
Barbieri, Giuseppina |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
707-719 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove an extension theorem for modular measures on lattice ordered effect algebras. This is used to obtain a representation of these measures by the classical ones. With the aid of this theorem we transfer control theorems, Vitali-Hahn-Saks, Nikodým theorems and range theorems to this setting. (English) |
| Keyword:
|
effect algebras |
| Keyword:
|
modular measures |
| Keyword:
|
extension |
| Keyword:
|
Vitali-Hahn-Saks theorem |
| Keyword:
|
Nikodým theorem |
| Keyword:
|
decomposition theorem |
| Keyword:
|
control theorems |
| Keyword:
|
range |
| Keyword:
|
Liapunoff theorem |
| MSC:
|
06C15 |
| MSC:
|
28E99 |
| idZBL:
|
Zbl 1224.28037 |
| idMR:
|
MR2545651 |
| . |
| Date available:
|
2010-07-20T15:36:34Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140511 |
| . |
| Reference:
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