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Numerical radius norm and extreme contractions of
Arpita Mal
Suppose is the space of all bounded linear operators on a complex Hilbert space This article deals with the problem of characterizing the extreme contractions of …
An approximation problem in the space of bounded operators
Arpita Mal
For Banach spaces we consider a distance problem in the space of bounded linear operators Motivated by a recent paper \cite{RAO21}, we obtain sufficient…
Extreme points of the unit ball of and best approximation in
Arpita Mal
We study the geometry of the space of all bounded linear operators on a Banach space endowed with the numerical radius norm, whenever the numerical radius…
smoothness on polyhedral Banach spaces
Subhrajit Dey, Arpita Mal, Kallol Paul
We characterize smoothness of an element on the unit sphere of a finite-dimensional polyhedral Banach space. Then we study smoothness of an operator $T \in \mathbb{L}(\ell_…
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…
Birkhoff-James orthogonality to a subspace of operators defined between Banach spaces
Arpita Mal, Kallol Paul
This paper deals with study of Birkhoff-James orthogonality of a linear operator to a subspace of operators defined between arbitrary Banach spaces. In case the domain space is ref…