8 papers
Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces
Babhrubahan Bose, Saikat Roy, Debmalya Sain
We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely for , , , and . Using the characte…
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…
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…
Orthogonality in a vector space with a topology And a generalization of Bhatia-Semrl Theorem
Debmalya Sain, Saikat Roy, Kallol Paul
We introduce the notion of orthogonality in a vector space with a topology on it. To serve our purpose, we define orthogonality space for a given vector space X, using the topology…
A study of symmetric points in Banach spaces
Debmalya Sain, Saikat Roy, Satya Bagchi +1
We completely characterize the left-symmetric points, the right-symmetric points, and, the symmetric points in the sense of Birkhoff-James, in a Banach space. We obtain a complete…