| Title:
|
Order bounded orthosymmetric bilinear operator (English) |
| Author:
|
Chil, Elmiloud |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
873-880 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved by an order theoretical and purely algebraic method that any order bounded orthosymmetric bilinear operator $b\colon E\times E\rightarrow F$ where $E$ and $F$ are Archimedean vector lattices is symmetric. This leads to a new and short proof of the commutativity of Archimedean almost $f$-algebras. (English) |
| Keyword:
|
vector lattice |
| Keyword:
|
positive bilinear operator |
| Keyword:
|
orthosymmetric bilinear operator |
| Keyword:
|
lattice bimorphism |
| MSC:
|
06F25 |
| MSC:
|
46A40 |
| MSC:
|
47A65 |
| idZBL:
|
Zbl 1249.06048 |
| idMR:
|
MR2886242 |
| DOI:
|
10.1007/s10587-011-0052-8 |
| . |
| Date available:
|
2011-12-16T15:32:58Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141791 |
| . |
| Reference:
|
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| . |
