English

On the weighted Geometric mean of accretive matrices

Functional Analysis 2020-07-20 v1

Abstract

In this paper, we discuss new inequalities for accretive matrices through non standard domains. In particular, we present several relations for ArA^r and ArBA\sharp_rB, when A,BA,B are accretive and r(1,0)(1,2).r\in (-1,0)\cup (1,2). This complements the well established discussion of such quantities for accretive matrices when r[0,1],r\in [0,1], and provides accretive versions of known results for positive matrices.

Keywords

Cite

@article{arxiv.2007.08650,
  title  = {On the weighted Geometric mean of accretive matrices},
  author = {Yassine Bedrani and Fuad Kittaneh and Mohammed Sababheh},
  journal= {arXiv preprint arXiv:2007.08650},
  year   = {2020}
}