Scholarlink

<p>Since the remarkable work of Ando, Li and Mathias on a symmetrization procedure, various types of the multi-variable geometric mean with Ando-Li-Mathias (ALM) properties have been studied. In this paper, we explore on characterization of preservers for two-variable Kubo-Ando’s and non-Kubo-Ando’s operator means and study relationships between mean preservers. Moreover, we characterize the preserver of multi-variable means such as the ALM mean, Karcher mean and Wasserstein mean.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Relationships Between Mean Preserving Transformations

  • 期刊论文

  • 发表日期：

    2026年5月16日

查看全文
  • Sejong Kim,
  • Vatsalkumar N. Mer

摘要

Since the remarkable work of Ando, Li and Mathias on a symmetrization procedure, various types of the multi-variable geometric mean with Ando-Li-Mathias (ALM) properties have been studied. In this paper, we explore on characterization of preservers for two-variable Kubo-Ando’s and non-Kubo-Ando’s operator means and study relationships between mean preservers. Moreover, we characterize the preserver of multi-variable means such as the ALM mean, Karcher mean and Wasserstein mean.