Biweights and *-homomorphisms of partial *-algebras
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...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/54793 |
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| _version_ | 1832549654892380160 |
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| author | Jean-Pierre Antoine Camillo Trapani Francesco Tschinke |
| author_facet | Jean-Pierre Antoine Camillo Trapani Francesco Tschinke |
| author_sort | Jean-Pierre Antoine |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-612668beddab451e93d684b95178a6ec |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-612668beddab451e93d684b95178a6ec2025-02-03T06:10:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5479354793Biweights and *-homomorphisms of partial *-algebrasJean-Pierre Antoine0Camillo Trapani1Francesco Tschinke2Institut de Physique Théorique, Université Catholique de Louvain, Louvain-la-Neuve 1348, BelgiumDipartimento di Matematica ed Applicazioni, Università di Palermo, Palermo 90123, ItalyDipartimento di Metodi e Modelli Matematici, Facoltà d'Ingegneria, Università di Palermo, Palermo 90128, ItalyConsider 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.http://dx.doi.org/10.1155/IJMMS/2006/54793 |
| spellingShingle | Jean-Pierre Antoine Camillo Trapani Francesco Tschinke Biweights and *-homomorphisms of partial *-algebras International Journal of Mathematics and Mathematical Sciences |
| title | Biweights and *-homomorphisms of partial *-algebras |
| title_full | Biweights and *-homomorphisms of partial *-algebras |
| title_fullStr | Biweights and *-homomorphisms of partial *-algebras |
| title_full_unstemmed | Biweights and *-homomorphisms of partial *-algebras |
| title_short | Biweights and *-homomorphisms of partial *-algebras |
| title_sort | biweights and homomorphisms of partial algebras |
| url | http://dx.doi.org/10.1155/IJMMS/2006/54793 |
| work_keys_str_mv | AT jeanpierreantoine biweightsandhomomorphismsofpartialalgebras AT camillotrapani biweightsandhomomorphismsofpartialalgebras AT francescotschinke biweightsandhomomorphismsofpartialalgebras |