54 citations · 332 across the 64 of their papers we have counts for
6 papers · 1 filter
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…
Approximate smoothness in normed linear spaces
Jacek Chmieliński, Divya Khurana, Debmalya Sain
We introduce the notion of approximate smoothness in a normed linear space. We characterize this property and show the connections between smoothness and approximate smoothness for…
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…
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…
On Best approximations to compact operators
Debmalya Sain
We study best approximations to compact operators between Banach spaces and Hilbert spaces, from the point of view of Birkhoff-James orthogonality and semi-inner-products. As an ap…
On approximate orthogonality and symmetry of operators in semi-Hilbertian structure
Jeet Sen, Debmalya Sain, Kallol Paul
The purpose of the article is to generalize the concept of approximate Birkhoff-James orthogonality, in the semi-Hilbertian structure. Given a positive operator on a Hilbert…