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math.FA2026
-Numerical Radius Estimates in Semi-Hilbertian Spaces and Their Relations with Matrix Means for Sectorial Matrices
Jyoti Rani
In this paper, the -numerical radius of operators in semi-Hilbertian spaces is studied. New characterizations are established, and sharp upper and lower bounds for the -numer…
math.FA2026
-Numerical Ranges and Spectral Sets
Ryan O'Loughlin, Jyoti Rani
We study spectral constants for convex domains containing the spectrum of an operator. We extend the Crouzeix--Palencia framework by obtaining bounds depending on a parameter $…