A Characterization of Riesz n-Morphisms and Applications
Titel:
A Characterization of Riesz n-Morphisms and Applications
Auteur:
Ercan, Z. Onal, S.
Verschenen in:
Communications in algebra
Paginering:
Jaargang 36 (2008) nr. 3 pagina's 1115-1120
Jaar:
2008-03
Inhoud:
Let X1, X2,…, Xn be realcompact spaces and Z be a topological space. Let π:C(X1) × C(X2) × ··· × C(Xn) → C(Z) be a Riesz n-morphism. We show that there exist functions σi : Z → Xi (i = 1, 2,…, n) and w ∈ C(Z) such that [image omitted] and σ1, σ2,…, σn are continuous on {z : w(z) ≠ 0}. This fact extends a result in Boulabiar (2002) and leads to one of the main results in Boulabiar (2004) with a more elementary proof.
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