375 citations
- Government of West BengalIN22 papers
- Indian Institute of Engineering Science and Technology, ShibpurIN16 papers
- Indian Institute of Technology KharagpurIN16 papers
- Saha Institute of Nuclear PhysicsIN12 papers
- St Xavier’s CollegeIN11 papers
- St. Xavier's College (Autonomous)10 papers
- Indian Institute of Science BangaloreIN9 papers
- National Defence AcademyIN9 papers
- Indian Association for the Cultivation of ScienceIN8 papers
- Indian Institute of Technology KanpurIN8 papers
- Indian Statistical InstituteIN8 papers
- Presidency UniversityIN8 papers
9 papers · 1 filter
On the best coapproximation problem in
Debmalya Sain, Shamim Sohel, Souvik Ghosh +1
We study the best coapproximation problem in the Banach space by using Birkhoff-James orthogonality techniques. Given a subspace of , we comple…
On best coapproximations in subspaces of diagonal matrices
Debmalya Sain, Shamim Sohel, Souvik Ghosh +1
We characterize the best coapproximation(s) to a given matrix out of a given subspace of the space of diagonal matrices , by using Birkhoff-Ja…
On k-smoothness of operators between Banach spaces
Debmalya Sain, Shamim Sohel, Kallol Paul
We explore the -smoothness of bounded linear operators between Banach spaces, using the newly introduced notion of index of smoothness. The characterization of the -smoothnes…
On isosceles orthogonality and some geometric constants in a normed space
Debmalya Sain, Souvik Ghosh, Kallol Paul
We study the James constant , an important geometric quantity associated with a normed space , and explore its connection with isosceles orthogonality…
On some special subspaces of a Banach space, from the perspective of best coapproximation
Shamim Sohel, Souvik Ghosh, Debmalya Sain +1
We study the best coapproximation problem in Banach spaces, by using Birkhoff-James orthogonality techniques. We introduce two special types of subspaces, christened the anti-copro…
On local preservation of orthogonality and its application to isometries
Debmalya Sain, Jayanta Manna, Kallol Paul
We investigate the local preservation of Birkhoff-James orthogonality at a point by a linear operator on a finite-dimensional Banach space and illustrate its importance in understa…