Samya Kumar Ray

activity

20172026

collaborators

4 papers

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.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.FA2019

On Isometric Embedding $ℓ_{p}^{m} \to S_{\infty}^{n}$ and Unique operator space structure

Samya Kumar Ray

We study existence of linear isometric embedding of $ℓ_{p}^{m}$ into $S_{\infty},$ for $1 \leq p < \infty$ and unique operator space structure on two dimensional Banach spaces. For $p\i…

math.FA2017

On Functional Calculus For $n$ -Ritt operators

Samya Kumar Ray

In this paper, we present a new class of operators, which we name to be $n$ -Ritt operators. This produces a discrete analogue of $n$ -sectorial operators and generalizes the notion…

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

Noncommutative ergodic theorems for action of semisimple Lie groups

On Isometric Embedding ℓpm​→S∞n​ and Unique operator space structure

On Functional Calculus For n-Ritt operators

On Isometric Embedding $ℓ_{p}^{m} \to S_{\infty}^{n}$ and Unique operator space structure

On Functional Calculus For $n$ -Ritt operators