1 citations · 2 across the 5 of their papers we have counts for
7 papers
Norm derivatives and geometry of bilinear operators
Divya Khurana, Debmalya Sain
We study the norm derivatives in the context of Birkhoff-James orthogonality in real Banach spaces. As an application of this, we obtain a complete characterization of the left-sym…
Some remarks on orthogonality of bounded linear operators
Anubhab Ray, Debmalya Sain, Subhrajit Dey +1
We explore the relation between the orthogonality of bounded linear operators in the space of operators and that of elements in the ground space. To be precise, we study if $ T, A…
On numerical radius and Crawford number attainment sets of a bounded linear operator
Debmalya Sain, Arpita Mal, Pintu Bhunia +1
We completely characterize the Crawford number attainment set and the numerical radius attainment set of a bounded linear operator on a Hilbert space. We study the intersection pro…
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…
Smoothness and norm attainment of bounded bilinear operators between Banach spaces
Debmalya Sain
We study the smoothness and the norm attainment of bounded bilinear operators between Banach spaces, using the concepts of Birkhoff-James orthogonality and semi-inner-products. In…