54 citations · 332 across the 64 of their papers we have counts for
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Orthogonality of bounded linear operators on complex Banach spaces
Kallol Paul, Debmalya Sain, Arpita Mal +1
We study Birkhoff-James orthogonality of bounded linear operators on complex Banach spaces and obtain a complete characterization of the same. By means of introducing new definitio…
On extreme contractions and the norm attainment set of a bounded linear operator
Debmalya Sain
In this paper we completely characterize the norm attainment set of a bounded linear operator on a Hilbert space. This partially answers a question raised recently in [\textit{D. S…
Approximate Birkhoff-James orthogonality in the space of bounded linear operators
Kallol Paul, Debmalya Sain, Arpita Mal
There are two notions of approximate Birkhoff-James orthogonality in a normed space. We characterize both the notions of approximate Birkhoff-James orthogonality in the space of bo…
On approximate Birkhoff-James orthogonality and normal cones in a normed space
Debmalya Sain, Kallol Paul, Arpita mal
We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric point of view, and characterize them in terms of normal cones. We further explo…
A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
Debmalya Sain, Kallol Paul, Arpita Mal
In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete characterization of Birkhoff-James orthogonality of bounded linear operators on…