Samya Kumar Ray

collaborators

6 papers

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.OA2026

Maximal Ergodic Theorems for Operators with Finite Peripheral Spectrum

Subhajit Palai, Samya Kumar Ray

Let $M$ be a semifinite von Neumann algebra and $T : M \to M$ be a positive $L_{\infty} - L_{1}$ contraction in the sense of Junge-Xu, of which the numerical…

math.OA2026

Lamperti Operators, Dilation Theory, and Applications in Noncommutative Ergodic Theory

Guixiang Hong, Wei Liu, Samya Kumar Ray +1

In this paper, we develop a novel framework for quantitative mean ergodic theorems in the noncommutative setting, with a focus on actions of amenable groups and semigroups. We prov…

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 $E, F$ assuming $E$ is finite-dimensional and study the associated Grothendieck-type constant. We prove that…

math.OA2025

Noncommutative ergodic theorems for action of semisimple Lie groups

Guixiang hong, Samya Kumar Ray

Let $G$ be a connected simple Lie group of real rank one and finite center, and let $K$ be a maximal compact subgroup. We study the families of spherical, ball, and uniform average…

math.FA2025

Weighted weak $(1, 1)$ estimate for non-commutative square function

Samya Kumar Ray, Diptesh Saha

In this article, we consider weighted weak type $(1, 1)$ inequality for certain square function associated to differences of ball averages and martingale in the non-commutative sett…