54 citations · 332 across the 64 of their papers we have counts for
8 papers · 1 filter
Local approximate symmetry of Birkhoff-James orthogonality in normed linear spaces
Jacek Chmieliński, Divya Khurana, Debmalya Sain
Two different notions of approximate Birkhoff-James orthogonality in nor\-med linear spaces have been introduced by Dragomir and Chmie\-liń\-ski. In the present paper we consider a…
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…
On a new norm on and its applications to numerical radius inequalities
D. Sain, P. Bhunia, A. Bhanja +1
We introduce a new norm on the space of bounded linear operators on a complex Hilbert space, which generalizes the numerical radius norm, the usual operator norm and the modified D…
Numerical radius inequalities of operator matrices from a new norm on
P. Bhunia, A. Bhanja, D. Sain +1
This paper is a continuation of a recent work on a new norm, christened the -norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds…
On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of a normed linear space
Pintu Bhunia, Debmalya Sain, Kallol Paul
We study the Davis-Wielandt shell and the Davis-Wielandt radius of an operator on a normed linear space . We show that after a suitable modification, the modified Davi…
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…