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math.FA2024★ 11 cited
Orthogonality of bilinear forms and application to matrices
Saikat Roy, Tanusri Senapati, Debmalya Sain
We characterize Birkhoff-James orthogonality of continuous vector-valued functions on a compact topological space. As an application of our investigation, Birkhoff-James orthogonal…
math.FA2024
A dilation theoretic approach to Banach spaces
Swapan Jana, Sourav Pal, Saikat Roy
For a complex Banach space , we prove that is a Hilbert space if and only if every strict contraction on dilates to an isometry if and only i…