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5 papers
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 generalized Davis-Wielandt radius inequalities of semi-Hilbertian space operators
Aniket Bhanja, Pintu Bhunia, Kallol Paul
Let be a positive (semidefinite) operator on a complex Hilbert space and let We obtain upper…
Bounds for the Davis-Wielandt radius of bounded linear operators
Pintu Bhunia, Aniket Bhanja, Santanu Bag +1
We obtain upper and lower bounds for the Davis-Wielandt radius of bounded linear operators defined on a complex Hilbert space, which improve on the existing ones. We also obtain bo…
On the numerical range of operators on some special Banach spaces
Kalidas Mandal, Aniket Bhanja, Santanu Bag +1
The numerical range of a bounded linear operator on a complex Banach space need not be convex unlike that on a Hilbert space. The aim of this paper is to study operators on $ \…