Orthogonality of bilinear forms and application to matrices
Functional Analysis
2024-07-19 v1
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-\v{S}emrl Theorem in the real case.
Keywords
Cite
@article{arxiv.2407.13713,
title = {Orthogonality of bilinear forms and application to matrices},
author = {Saikat Roy and Tanusri Senapati and Debmalya Sain},
journal= {arXiv preprint arXiv:2407.13713},
year = {2024}
}
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6 pages