| Title:
|
The triadjoint of an orthosymmetric bimorphism (English) |
| Author:
|
Toumi, Mohamed Ali |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
85-94 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $A$ and $B$ be two Archimedean vector lattices and let $( A^{\prime }) _n'$ and $( B') _n'$ be their order continuous order biduals. If $\Psi \colon A\times A\rightarrow B$ is a positive orthosymmetric bimorphism, then the triadjoint $\Psi ^{\ast \ast \ast }\colon ( A') _n'\times ( A') _n'\rightarrow ( B') _n'$ of $\Psi $ is inevitably orthosymmetric. This leads to a new and short proof of the commutativity of almost $f$-algebras. (English) |
| Keyword:
|
almost $f$-algebra orthosymmetric bimorphism |
| MSC:
|
06F25 |
| MSC:
|
47B65 |
| idZBL:
|
Zbl 1224.06036 |
| idMR:
|
MR2595072 |
| . |
| Date available:
|
2010-07-20T16:16:27Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140551 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
