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math.FA2026
The Bishop--Phelps--Bollobás Property for Extremally Disconnected Ranges: Separable and Low-Density Domains
Tattwamasi Amrutam, Priyadarshi Dey, Chunlin Liu +1
We prove a Bishop--Phelps--Bollobás theorem for operators into spaces of continuous scalar-valued functions on extremally disconnected compact Hausdorff spaces over both the real a…
math.FA2026
On the Convergence of Numerical Index via Operator Openings and Ultraproducts
Monika, Tattwamasi Amrutam, Priyadarshi Dey
The numerical index of a Banach space is a geometric constant relating the numerical radius of bounded linear operators to their standard operator norm. In this paper, we study the…