A generalization of Pincus' formula and Toeplitz operator determinants

被引：13

作者：

Ehrhardt, T ^{[1
]}

机构：

[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

ARCHIV DER MATHEMATIK | 2003年 / 80卷 / 03期

关键词：

D O I：

10.1007/s00013-003-0470-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the following result. Let A and B be bounded linear operator on a Hilbert space such that AB - BA is trace class. Then the operator determinant of e(A)e(B)e(-A-B) is well defined and equals the exponential of 2 trace (AB - BA). This generalization of a formula due to Pincus can be applied to find explicit expressions for operator determinants that appear in the theory of Toeplitz operators.

引用

页码：302 / 309

页数：8

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