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Orthogonality of bilinear forms and application to matrices

Roy, S and Senapati, T and Sain, D (2021) Orthogonality of bilinear forms and application to matrices. In: Linear Algebra and Its Applications, 615 . pp. 104-111.

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Official URL: https://dx.doi.org/10.1016/j.laa.2020.12.032


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. © 2021 Elsevier Inc.

Item Type: Journal Article
Publication: Linear Algebra and Its Applications
Publisher: Elsevier Inc.
Additional Information: The copyright of this article belongs to Elsevier Inc.
Keywords: Vector spaces, Bilinear form; Elementary proof; Orthogonality; Real case; Topological spaces; Vector-valued function, Vectors
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 22 Feb 2021 10:57
Last Modified: 22 Feb 2021 10:57
URI: http://eprints.iisc.ac.in/id/eprint/67785

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