PERTURBATION FORMULAS FOR TRACES ON C-ASTERISK-ALGEBRAS

被引：23

作者：

HANSEN, F

PEDERSEN, GK

机构：

[1] UNIV COPENHAGEN,INST ECON,DK-1455 COPENHAGEN K,DENMARK

[2] UNIV COPENHAGEN,INST MATH,DK-2100 COPENHAGEN,DENMARK

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1995年 / 31卷 / 01期

关键词：

D O I：

10.2977/prims/1195164797

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the Frechet differential of operator functions on C*-algebras obtained via spectral theory from ordinary differentiable functions. In the finite-dimensional case this differential is expressed in terms of Hadamard products of matrices. A perturbation formula with applications to traces is given.

引用

页码：169 / 178

页数：10

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