On the Ando-Hiai property for spectral geometric means
Functional Analysis
2025-12-30 v1
Abstract
In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover, it satisfies the Ando-Hiai type inequality under some restricted conditions. As an application, we show the log-majorization relations and norm inequalities for the spectral geometric means of positive definite matrices.
Keywords
Cite
@article{arxiv.2512.22807,
title = {On the Ando-Hiai property for spectral geometric means},
author = {Yuki Seo and Shuhei Wada and Takeaki Yamazaki},
journal= {arXiv preprint arXiv:2512.22807},
year = {2025}
}
Comments
Submitted to Linear Algebra and its Applications