Samya Kumar Ray

activity

20162026

most citedMaximal ergodic inequalities for some positive operators on noncommutative

L_{p}

-spaces

4 citations · 8 across the 16 of their papers we have counts for

collaborators

20 papers

math.OA2026

Failure of noncommutative Rota's theorem with $L lo g L$ endpoint

Hiranmoy Ghorui, Suman Mondal, Samya Kumar Ray

We construct a factorizable Markov map $T$ on a hyperfinite finite von Neumann algebra and a positive element $x \in L lo g L$ for which the sequence $T^{n} (T^{*})^{n} x$ does not converge…

math.FA2026

Unique operator space structures on a family of two dimensional Banach spaces

Samya Kumar Ray

For $0 < θ < π$ , let $K_{θ} = {e^{i s} : ∣ s ∣ \leq θ}$ and $E_{θ} = span_{C} {1, z} \subset C (K_{θ})$ . We prove that every contractive linear map from $E_{θ}$ into $B (H)$ …

math.FA2026

Failure of Rational Dilation on the Tetrablock via Parrott Homomorphisms

Shubhankar Mandal, Samya Kumar Ray

We determine the cotangent operator space structure at the origin of the tetrablock (denoted by $E$ ). In particular we prove that $\operatorname{COT}_0(\overline{\mathbb E}…

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.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.FA2024

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…

math.FA2023

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.FA2022★ 1 cited

Noncommutative maximal strong $L_{p}$ estimates of Calderón-Zygmund operators

Guixiang Hong, Xudong Lai, Samya Kumar Ray +1

In this paper, we obtain the desired noncommutative maximal inequalities of the truncated Calderón-Zygmund operators of non-convolution type acting on operator-valued $L_{p}$ -functio…

math.FA2022

A note on the column-row property

Samya Kumar Ray, Srijan Sarkar

In this article, we study the following question asked by Michael Hartz in a recent paper \cite{Hartz}: \textit{which operator spaces satisfy the column-row property?} We provide a…

math.FA2022

On Isometric Embeddability of $S_{q}^{m}$ into $S_{p}^{n}$ as non-commutative Quasi-Banach space

Arup Chattopadhyay, Guixiang Hong, Chandan Pradhan +1

The existence of isometric embedding of $S_{q}^{m}$ into $S_{p}^{n}$ , where $1 \leq p \neq = q \leq \infty$ and $m, n \geq 2$ has been recently studied in \cite{JFA22}. In this article, we extend…

math.FA2020

Isometric Embeddability of $S_{q}^{m}$ into $S_{p}^{n}$

Arup Chattopadhyay, Guixiang Hong, Avijit Pal +2

In this paper, we study existence of isometric embedding of $S_{q}^{m}$ into $S_{p}^{n},$ where $1 \leq p \neq = q \leq \infty$ and $n \geq m \geq 2.$ We show that for all $n \geq m \geq 2$ if ther…

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.OA2019★ 4 cited

Maximal ergodic inequalities for some positive operators on noncommutative $L_{p}$ -spaces

Guixiang Hong, Samya Kumar Ray, Simeng Wang

In this paper, we establish the one-sided maximal ergodic inequalities for a large subclass of positive operators on noncommutative $L_{p}$ -spaces for a fixed $1 < p < \infty$ , which par…

math.CA2017★ 1 cited

On Joint Functional Calculus For Ritt Operators

Parasar Mohanty, Samya Kumar Ray

In this paper, we study joint functional calculus for commuting $n$ -tuple of Ritt operators. We provide an equivalent characterisation of boundedness for joint functional calculus…

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…

math.FA2017★ 2 cited

On Multivariate Matsaev's Conjecture

Samya Kumar Ray

In this article, we study multivariate generalizations of the Matsaev's conjecture in commutative and non-commutative $L^{p}$ -spaces.We prove that the multivariate analogue of Matsae…

math.FA2017

Contractivity vs. Complete Contractivity via property P

Samya Kumar Ray

In this paper, we consider the question of contractivity vs. complete contractivity for domains in $C^{2}$ , which are unit balls with respect to some norm. We show that for…

math.FA2016

On a Question of N. Th. Varopoulos and the constant $C_{2} (n)$

Rajeev Gupta, Samya Kumar Ray

Let $C_{k} [Z_{1}, \dots, Z_{n}]$ denote the set of all polynomials of degree at most $k$ in $n$ complex variables and $C_{n}$ denote the set of all $n$ - tuple $\boldsymb…

Failure of noncommutative Rota's theorem with LlogL endpoint

Unique operator space structures on a family of two dimensional Banach spaces

Failure of Rational Dilation on the Tetrablock via Parrott Homomorphisms

Extreme points, positive Grothendieck constants and tensor product norms

Maximal Ergodic Theorems for Operators with Finite Peripheral Spectrum

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

Noncommutative ergodic theorems for action of semisimple Lie groups

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

On a variant of the Grothendieck inequality and estimates on tensor product norms

Noncommutative maximal strong Lp​ estimates of Calderón-Zygmund operators

A note on the column-row property

On Isometric Embeddability of Sqm​ into Spn​ as non-commutative Quasi-Banach space

Isometric Embeddability of Sqm​ into Spn​

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

Maximal ergodic inequalities for some positive operators on noncommutative Lp​-spaces

On Joint Functional Calculus For Ritt Operators

On Functional Calculus For n-Ritt operators

On Multivariate Matsaev's Conjecture

Contractivity vs. Complete Contractivity via property P

On a Question of N. Th. Varopoulos and the constant C2​(n)

Failure of noncommutative Rota's theorem with $L lo g L$ endpoint

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

Noncommutative maximal strong $L_{p}$ estimates of Calderón-Zygmund operators

On Isometric Embeddability of $S_{q}^{m}$ into $S_{p}^{n}$ as non-commutative Quasi-Banach space

Isometric Embeddability of $S_{q}^{m}$ into $S_{p}^{n}$

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

Maximal ergodic inequalities for some positive operators on noncommutative $L_{p}$ -spaces

On Functional Calculus For $n$ -Ritt operators

On a Question of N. Th. Varopoulos and the constant $C_{2} (n)$