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20162024
most citedOn isosceles orthogonality and some geometric constants in a normed space

7 citations · 24 across the 17 of their papers we have counts for

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17 papers · 1 filter

math.FA2024

-Davis-Wielandt Radius Bounds of Semi-Hilbertian Space Operators

Messaoud Guesba, Somdatta Barik, Pintu Bhunia +1

Consider is a complex Hilbert space and is a positive operator on The mapping $\langle\cdot,\cdot\rangle_A: \mathcal{H}\times \mathcal{H} \to \math…

math.FA20242 cited

On the best coapproximation problem in

Debmalya Sain, Shamim Sohel, Souvik Ghosh +1

We study the best coapproximation problem in the Banach space by using Birkhoff-James orthogonality techniques. Given a subspace of , we comple…

math.FA20245 cited

On best coapproximations in subspaces of diagonal matrices

Debmalya Sain, Shamim Sohel, Souvik Ghosh +1

We characterize the best coapproximation(s) to a given matrix out of a given subspace of the space of diagonal matrices , by using Birkhoff-Ja…

math.FA20243 cited

On k-smoothness of operators between Banach spaces

Debmalya Sain, Shamim Sohel, Kallol Paul

We explore the -smoothness of bounded linear operators between Banach spaces, using the newly introduced notion of index of smoothness. The characterization of the -smoothnes…

math.FA20247 cited

On isosceles orthogonality and some geometric constants in a normed space

Debmalya Sain, Souvik Ghosh, Kallol Paul

We study the James constant , an important geometric quantity associated with a normed space , and explore its connection with isosceles orthogonality…

math.FA20241 cited

On some special subspaces of a Banach space, from the perspective of best coapproximation

Shamim Sohel, Souvik Ghosh, Debmalya Sain +1

We study the best coapproximation problem in Banach spaces, by using Birkhoff-James orthogonality techniques. We introduce two special types of subspaces, christened the anti-copro…