International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 17, Article ID 54793, 20 pages
doi:10.1155/IJMMS/2006/54793
Biweights and *-homomorphisms of partial *-algebras
Jean-Pierre Antoine1
, Camillo Trapani2
and Francesco Tschinke3
1Institut de Physique Théorique, Université Catholique de Louvain, Louvain-la-Neuve 1348, Belgium
2Dipartimento di Matematica ed Applicazioni, Università di Palermo, Palermo 90123, Italy
3Dipartimento di Metodi e Modelli Matematici, Facoltà d'Ingegneria, Università di Palermo, Palermo 90128, Italy
Abstract
Consider two partial *-algebras, 𝔄1 and 𝔄2, and an *-homomorphism Φ from 𝔄1 into 𝔄2. Given a biweight ϕ on 𝔄2, we discuss conditions under which the natural composition ϕ∘Φ of ϕ and Φ is a biweight on 𝔄1. In particular, we examine whether the restriction of a biweight to a partial *-subalgebra is again a biweight.