REPRESENTABILITY OF INVARIANT POSITIVE SESQUILINEAR FORMS ON PARTIAL STAR-ALGEBRAS

被引：16

作者：

ANTOINE, JP ^{[1
]}

INOUE, A ^{[1
]}

机构：

[1] FUKUOKA UNIV, DEPT APPL MATH, FUKUOKA 81401, JAPAN

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1990年 / 108卷

关键词：

D O I：

10.1017/S0305004100069206

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider invariant positive sesquilinear forms on a (partial) *-algebra A without unit. First we investigate the relationship between extendability and representability for such a form ϕ in particular we discuss under which conditions the two concepts are equivalent. Then we introduce the notions of weak representability and strict unrepresentability, and we show that every fully invariant positive sesquilinear form on si A ×A is uniquely decomposed into a weakly representable part and a strictly unrepresentable part. © 1990, Cambridge Philosophical Society. All rights reserved.

引用

页码：337 / 353

页数：17

共 18 条

[1] PARTIAL STAR-ALGEBRAS OF CLOSED LINEAR-OPERATORS IN HILBERT-SPACE [J].