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

页码：613 / 622

页数：10

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