Differential structure of the Thompson components of selfadjoint operators

被引：0
|
作者：
Fongi, Guillermina [1 ]
Maestripieri, Alejandra [2 ]
机构：
[1] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat, RA-1083 Buenos Aires, DF, Argentina
[2] Univ Nacl Gen Sarmiento, Inst Ciencias, RA-1613 Los Polvorines, Argentina
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 02期
关键词：
selfadjoint operators; Thompson part metric; differential geometry;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Different equivalence relations are defined in the set L(H)(s) of selfadjoint operators of a Hilbert space H in order to extend a very well known relation in the cone of positive operators. As in the positive case, for a is an element of L(H)(s) the equivalence class C-a admits a differential structure, which is compatible with a complete metric defined on C-a. This metric coincides with the Thompson metric when a is positive.
引用
收藏
页码：613 / 622
页数：10
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