Title of article :
An extended Lie–Trotter formula and its applications Original Research Article
Author/Authors :
Eunkyung Ahn، نويسنده , , Sejung Kim، نويسنده , , Yongdo Lim، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
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.
Keywords :
Lie–Trotter formula , Log-Euclidean mean , geometric mean , Positive definite operator , Spectral geometric mean , Sagae–Tanabe mean
Journal title :
Linear Algebra and its Applications
Journal title :
Linear Algebra and its Applications
