Unbounded C*-seminorms and biweights on partial *-algebras

被引：7
作者：
Trapani, Camillo [1 ]
Tschinke, Francesco
机构：
[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy
[2] Univ Palermo, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2005年 / 2卷 / 03期
关键词：
C*-seminorm; biweight; partial *-algebra;
D O I：
10.1007/s00009-005-0046-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Unbounded C*-seminorms generated by families of biweights on a partial *-algebra are considered and the admissibility of biweights is characterized in terms of unbounded C*-seminorms they generate. Furthermore, it is shown that, under suitable assumptions, when the family of biweights consists of all those ones which are relatively bounded with respect to a given C*-seminorm q, it can be obtained an expression for q analogous to that one which holds true for the norm of a C*-algebra.
引用
收藏
页码：301 / 313
页数：13
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