64 citations · 883 across the 94 of their papers we have counts for
11 papers · 1 filter
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…
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…
Some improvements of numerical radius inequalities of operators and operator matrices
Pintu Bhunia, Kallol Paul
We obtain upper bounds for the numerical radius of a product of Hilbert space operators which improve on the existing upper bounds. We generalize the numerical radius inequalities…
Characterization of smooth operators between Banach spaces
Arpita Mal, Kallol Paul
We study smoothness of bounded linear operators defined between arbitrary Banach spaces. As an application, we characterize smooth operators defined from to an a…
On inequalities for A-numerical radius of operators
Pintu Bhunia, Kallol Paul, Raj Kumar Nayak
Let be a positive operator on a complex Hilbert space We present inequalities concerning upper and lower bounds for -numerical radius of operators, which impr…
Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices
Pintu Bhunia, Kallol Paul, Raj kumar Nayak
We present new upper and lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve on the existing bounds. Among many oth…