Orthogonality of bilinear forms and application to matrices
arXiv:2407.13713 · doi:10.1016/j.laa.2020.12.032
Abstract
We characterize Birkhoff-James orthogonality of continuous vector-valued functions on a compact topological space. As an application of our investigation, Birkhoff-James orthogonality of real bilinear forms are studied. This allows us to present an elementary proof of the well-known Bhatia-Šemrl Theorem in the real case.
6 pages