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International Journal of Mathematics and Mathematical Sciences - Volume 2006 2006, Article ID 54793, 20 pages

Institut de Physique Théorique, Université Catholique de Louvain, Louvain-la-Neuve 1348, Belgium

Dipartimento di Matematica ed Applicazioni, Università di Palermo, Palermo 90123, Italy

Dipartimento di Metodi e Modelli Matematici, Facoltà d-Ingegneria, Università di Palermo, Palermo 90128, Italy

Received 26 May 2006; Revised 14 August 2006; Accepted 21 August 2006

Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Consider two partial *-algebras, 1 and 2, and an *-homomorphism Φ from 1 into 2. Given a biweight ϕ on 2, we discuss conditions under which the natural composition ϕ∘Φ of ϕ and Φ is a biweight on 1. In particular, we examine whether the restriction of a biweight to a partial *-subalgebra is again a biweight.

Autor: Jean-Pierre Antoine, Camillo Trapani, and Francesco Tschinke



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