On algebra homomorphisms in complex almost $f$-algebras
Triki, Abdelmajid
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002), p. 23-31 / Harvested from Czech Digital Mathematics Library
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Extensions of order bounded linear operators on an Archimedean vector lattice to its relatively uniform completion are considered and are applied to show that the multiplication in an Archimedean lattice ordered algebra can be extended, in a unique way, to its relatively uniform completion. This is applied to show, among other things, that any order bounded algebra homomorphism on a complex Archimedean almost $f$-algebra is a lattice homomorphism.

Publié le : 2002-01-01
Classification:  06F20,  06F25,  46A40 
@article{119297,
     author = {Abdelmajid Triki},
     title = {On algebra homomorphisms in complex almost $f$-algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {43},
     year = {2002},
     pages = {23-31},
     zbl = {1070.06008},
     mrnumber = {1903304},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119297}
}

Triki, Abdelmajid. On algebra homomorphisms in complex almost $f$-algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 23-31. http://gdmltest.u-ga.fr/item/119297/

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