Article ID Journal Published Year Pages File Type
4603346 Linear Algebra and its Applications 2007 7 Pages PDF
Abstract

In this paper we present a class of Lie–Trotter formulae for Hermitian operators including the formulae derived by Hiai–Petz and Furuta. A Lie–Trotter formula for weighted Log-Euclidean geometric means of several positive definite operators is given in terms of Sagae–Tanabe geometric and spectral geometric means.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory