Geodesic
Order bounded orthosymmetric bilinear operator
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 873-880.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.1007/s10587-011-0052-8
Classification : 06F25, 46A40, 47A65
Keywords: vector lattice; positive bilinear operator; orthosymmetric bilinear operator; lattice bimorphism 
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Chil, Elmiloud. Order bounded orthosymmetric bilinear operator. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 873-880. doi : 10.1007/s10587-011-0052-8. http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0052-8/

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