A characterization of riesz n-morphisms and applications
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Dosyalar
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Inc
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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 pi(f(1), f(2),..., f(n)) = Wf(1) o sigma(1)f(2)o sigma(2)... fno sigma(n) and sigma(1), sigma(2),....,sigma(n) are continuous on {z : w(z)not equal 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.
Açıklama
Conference on Carthapos 2006 -- 2006 -- Tunis, TUNISIA
Anahtar Kelimeler
F-algebras, Realcompact Space, Riesz N-morphism
Kaynak
Communications In Algebra
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
36
Sayı
3
