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math.FA2026
On weighted Schatten p-numerical radii via generalized Aluthge transformation
Kallal Pal, Sumit Chandok
In this article, we derive various weighted p-numerical radius inequalities using the Schatten p-norm with the generalized Aluthge transform for operators in Hilbert spaces. In add…
math.FA2025
Some inequalities related to Heinz mean constant with Birkhoff orthogonality
Kallal Pal, Sumit Chandok
Motivated by the work of Baronti et al. [J. Math. Anal. Appl. 252(2000) 124-146], where they defined the supremum of an arithmetic mean of the side lengths of a triangle, summing a…
math.FA2022
Geometric properties of a novel type of orthogonality via norm derivatives
Kallal Pal, Sumit Chandok
In this article, we generalize the notion of orthogonality as a linear combination of norm derivatives in order to give a novel concept that we refer to as -orthogonality.…