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math.FA2026
Extreme points, positive Grothendieck constants and tensor product norms
Rajeev Gupta, Arpita Mal, Gadadhar Misra +1
We study several interrelated problems arising from the interplay between extreme point theory, Grothendieck-type inequalities, and tensor product norms. We develop a general frame…
math.FA2025
On a variant of the Grothendieck inequality and estimates on tensor product norms
Rajeev Gupta, Gadadhar Misra, Samya Kumar Ray
We investigate a Grothendieck-type inequality for pairs of Banach spaces assuming is finite-dimensional and study the associated Grothendieck-type constant. We prove that…
math.FA2025
Weighted weak estimate for non-commutative square function
Samya Kumar Ray, Diptesh Saha
In this article, we consider weighted weak type inequality for certain square function associated to differences of ball averages and martingale in the non-commutative sett…