English

Oppenheim-Schur's inequality and RKHS

Functional Analysis 2024-02-27 v1

Abstract

In 2012, we obtained Oppenheim's inequality for positive semidefinite matrices and its equality condition by the reproducing kernel method. In this paper, as a continuation, we give a reproducing kernel proof of the block matrix version of the Oppenheim-Schur's inequality and its equality condition in the positive definite case.

Keywords

Cite

@article{arxiv.2402.16228,
  title  = {Oppenheim-Schur's inequality and RKHS},
  author = {Akira Yamada},
  journal= {arXiv preprint arXiv:2402.16228},
  year   = {2024}
}