54 citations · 332 across the 64 of their papers we have counts for
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On Symmetry of Birkhoff-James Orthogonality of Linear Operators on Finite-dimensional Real Banach Spaces
Debmalya Sain, Puja Ghosh, Kallol Paul
We characterize left symmetric linear operators on a finite dimensional strictly convex and smooth real normed linear space which answers a question raised recently…
Chebyshev centers that are not farthest points
Debmalya Sain, Vladimir Kadets, Kallol Paul +1
In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals t…
On the norm attainment set of a bounded linear operator
Debmalya Sain
In this paper we explore the properties of a bounded linear operator defined on a Banach space, in light of operator norm attainment. Using Birkhoff-James orthogonality techniques,…
Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
Debmalya Sain
In this paper we characterize Birkhoff-James orthogonality of linear operators defined on a finite dimensional real Banach space We also explore the symmetry of Bir…
Farthest point problem and M-compact sets
D. Sain, K. Paul, A. Ray
In this paper we give an elementary proof of the fact that every uniquely remotal set is singleton in a finite dimensional strictly convex normed linear space. We show that if A is…