TRACE NORM CONVERGENCE OF EXPONENTIAL PRODUCT FORMULA

被引：11

作者：

HIAI, F

机构：

[1] Department of Mathematics, Ibaraki University, Ibaraki, 310, Mito

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1995年 / 33卷 / 02期

关键词：

D O I：

10.1007/BF00739803

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let H and K be lower-bounded self-adjoint operators whose form sum is denoted by H + K. We show the norm inequality parallel-to e -(H + K) parallel-to less-than-or-equal-to parallel-to(e -rH/2e-rK(e)-rH/2)1/r parallel-to for r greater-than 0 and any symmetric norm parallel-to.parallel-to. When H + K is essentially self-adjoint and e-k is of trace class, we prove that (e-rH/2e-rK(e)-rH/2)1/r converges as r down 0 to e-(H+K) in the trace norm.

引用

页码：147 / 158

页数：12

共 34 条

[1] MAJORIZATION, DOUBLY STOCHASTIC MATRICES, AND COMPARISON OF EIGENVALUES [J].