English

Birkhoff-James orthogonality: A Minimax Theorem approach

Functional Analysis 2025-03-20 v1

Abstract

In this paper, we present an elementary proof of the Bhatia-\v{S}emrl Theorem, utilizing the Minimax Theorem for bounded linear operators by Asplund and Ptak [1]. Some related results are also discussed.

Keywords

Cite

@article{arxiv.2503.15193,
  title  = {Birkhoff-James orthogonality: A Minimax Theorem approach},
  author = {Hranislav Stanković},
  journal= {arXiv preprint arXiv:2503.15193},
  year   = {2025}
}
R2 v1 2026-06-28T22:26:47.767Z