| Title:
|
Representation theorem for convex effect algebras (English) |
| Author:
|
Gudder, S. |
| Author:
|
Pulmannová, S. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
645-659 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone. (English) |
| Keyword:
|
effect algebras |
| Keyword:
|
convex structures |
| Keyword:
|
ordered linear spaces |
| MSC:
|
46A40 |
| MSC:
|
46N50 |
| MSC:
|
52A01 |
| MSC:
|
81P10 |
| MSC:
|
81R10 |
| MSC:
|
82B03 |
| idZBL:
|
Zbl 1060.81504 |
| idMR:
|
MR1715455 |
| . |
| Date available:
|
2009-01-08T18:47:12Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119041 |
| . |
| Reference:
|
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| . |
