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A characterization of riesz n-morphisms and applications

2008-03-01
AKKAR ERCAN, ZÜBEYDE MÜGE
Önal, Süleyman
Let X-1 I X-2,..., X-n be realcompact spaces and Z he a topological space. Let pi : C(X-1)X C(X-2) X... X C(X-n)-> C(Z) be a Riesz n-morphism. We show that there exist functions sigma(i) : Z -> X-i (i = 1, 2,..., n) and w epsilon C(Z) such that