64 citations · 883 across the 94 of their papers we have counts for
19 papers · 1 filter
Numerical radius inequalities for products and sums of semi-Hilbertian space operators
Pintu Bhunia, Kais Feki, Kallol Paul
New inequalities for the -numerical radius of the products and sums of operators acting on a semi-Hilbert space, i.e. a space generated by a positive semidefinite operator ,…
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_…
Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators
Pintu Bhunia, Kallol Paul, Raj Kumar Nayak
We give new inequalities for -operator seminorm and -numerical radius of semi-Hilbertian space operators and show that the inequalities obtained here generalize and improve o…
Refinements of norm and numerical radius inequalities
Pintu Bhunia, Kallol Paul
Several refinements of norm and numerical radius inequalities of bounded linear operators on a complex Hilbert space are given. In particular, we show that if is a bounded line…
Improvement of -numerical radius inequalities of semi-Hilbertian space operators
Pintu Bhunia, Raj Kumar Nayak, Kallol Paul
Let be a complex Hilbert space and let be a positive operator on . We obtain new bounds for the -numerical radius of operators in semi-Hilbertian…
Proper improvement of well-known numerical radius inequalities and their applications
Pintu Bhunia, Kallol Paul
New inequalities for the numerical radius of bounded linear operators defined on a complex Hilbert space are given. In particular, it is established that if is a…