Geodesic
Some seminorms on quasi $^*$-algebras
Camillo Trapani1
1 Dipartimento di Matematica e Applicazioni Università di Palermo I-90123 Palermo, Italy
Studia Mathematica, Tome 158 (2003) no. 2, pp. 99-115

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Different types of seminorms on a quasi $^*$-algebra $({{{\mathfrak A}}},{{{\mathfrak A}}}_0)$ are constructed from a suitable family ${\mathcal F}$ of sesquilinear forms on ${{{\mathfrak A}}}$. Two particular classes, extended $C^*$-seminorms and $CQ^*$-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended $C^*$-seminorms on $({{{\mathfrak A}}},{{{\mathfrak A}}}_0)$ is given.
DOI : 10.4064/sm158-2-1
Keywords: different types seminorms quasi * algebra mathfrak mathfrak constructed suitable family mathcal sesquilinear forms mathfrak particular classes extended * seminorms * seminorms studied detail necessary sufficient condition admissibility sesquilinear form terms extended * seminorms mathfrak mathfrak given

Camillo Trapani 1

1 Dipartimento di Matematica e Applicazioni Università di Palermo I-90123 Palermo, Italy 
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Camillo Trapani. Some seminorms on quasi $^*$-algebras. Studia Mathematica, Tome 158 (2003) no. 2, pp. 99-115. doi: 10.4064/sm158-2-1

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