English

On the operator Acz\'{e}l inequality and its reverse

Functional Analysis 2020-01-16 v1

Abstract

In this paper, we present some operator and eigenvalue inequalities involving operator monotone, doubly concave and doubly convex functions. These inequalities provide some variants of operator Acz\'{e}l inequality and its reverse via generalized Kantorovich constant.

Keywords

Cite

@article{arxiv.2001.05088,
  title  = {On the operator Acz\'{e}l inequality and its reverse},
  author = {Shigeru Furuichi and Mohammad Reza Jabbarzadeh and Venus Kaleibary},
  journal= {arXiv preprint arXiv:2001.05088},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T13:11:29.220Z