Representable Linear Functionals on Partial *-Algebras

被引：3

作者：

Bagarello, Fabio ^{[3
]}

Inoue, Atsushi ^{[2
]}

Trapani, Camillo ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo, Italy

[2] Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan

[3] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, I-90128 Palermo, Italy

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2012年 / 9卷 / 01期

关键词：

Linear Functional; Partial Multiplication; Cyclic Vector; Singular Form; Representable Functional;

D O I：

10.1007/s00009-011-0118-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A GNS-like *-representation of a partial *-algebra A defined by certain representable linear functionals on A is constructed. The study of the interplay with the GNS construction associated with invariant positive sesquilinear forms (ips) leads to the notions of pre-core and of singular form. It is shown that a positive sesquilinear form with pre-core always decomposes into the sum of an ips form and a singular one.

引用

页码：153 / 163

页数：11