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math.FA2021
Birkhoff-James orthogonality in complex Banach spaces and Bhatia-Šemrl Theorem revisited
Saikat Roy, Satya Bagchi, Debmalya Sain
We explore Birkhoff-James orthogonality of two elements in a complex Banach space by using the directional approach. Our investigation illustrates the geometric distinctions betwee…
math.FA2021
Numerical radius and a notion of smoothness in the space of bounded linear operators
Saikat Roy, Debmalya Sain
We observe that the classical notion of numerical radius gives rise to a notion of smoothness in the space of bounded linear operators on certain Banach spaces, whenever the numeri…
math.FA2021
On best approximations in Banach spaces from the perspective of orthogonality
Debmalya Sain, Saikat Roy
We study best approximations in Banach spaces via Birkhoff-James orthogonality of functionals. To exhibit the usefulness of Birkhoff-James orthogonality techniques in the study of…