Sushil Singla

activity

20222026

most citedBirkhoff-James classification of norm's properties

1 citations · 1 across the 11 of their papers we have counts for

collaborators

12 papers

math.GR2026

Generating $\psl{2}{q}$ by elements of prime orders $2$ and $p$

Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1

For primes $p \geq 5$ , we determine those $q$ for which the projective special linear group $\psl{2}{q}$ over the finite field of order $q$ is $(2, p)$ -generated -- that is, there ex…

math.OA2026

Representations of noncommutative cubes and prisms

Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1

Representations of the operator system determined by the canonical generators of the free product of two cyclic groups of order $2$ and $k$ , or $d$ cyclic groups of order $2$ , are…

math.OA2025

Gateaux derivative of matrix norms in operator spaces and operator systems

Sushil Singla

We find expressions for the Gateaux derivative of the matrix norms in operator spaces, and operator systems. Some applications of the results to quantum probability measures, state…

math.OA2025

Geometry of essential matrix ranges and the Smith-Ward problem for operator systems

Douglas Farenick, Chi-Kwong Li, Sushil Singla

A $d$ -tuple of bounded linear selfadjoint operators acting on an infinite-dimensional separable Hilbert space is said to have the Smith-Ward property if the identity map of the ima…

math.FA2025

Linear maps preserving product of involutions

Chi-Kwong Li, Tejbir Lohan, Sushil Singla

An element of the algebra $M_{n} (F)$ of $n \times n$ matrices over a field $F$ is called an involution if its square equals the identity matrix. Gustafson, Halmos,…

math.OA2024

Birkhoff-James classification of finite-dimensional $C^{*}$ -algebras

Bojan Kuzma, Sushil Singla

We classify real or complex finite-dimensional $C^{*}$ -algebras and their underlying fields from the properties of Birkhoff-James orthogonality. Application to strong Birkhoff-James…

math.FA2024

Classification of abelian finite-dimensional $C^{*}$ -algebras by orthogonality

Bojan Kuzma, Sushil Singla

The main goal of the article is to prove that if $A_{1}$ and $A_{2}$ are Birkhoff-James isomorphic $C^{*}$ -algebras over the fields $F_{1}$ and $F_{2}$ , res…

math.FA2024

Linear preservers of parallel matrix pairs with respect to the $k$ -numerical radius

Bojan Kuzma, Chi-Kwong Li, Edward Poon +1

Let $1 \leq k < n$ be integers. Two $n \times n$ matrices $A$ and $B$ form a parallel pair with respect to the $k$ -numerical radius $w_{k}$ if $w_{k} (A + μ B) = w_{k} (A) + w_{k} (B)$ for som…

math.OA2024

Non-linear classification of finite-dimensional simple $C^{*}$ -algebras

Bojan Kuzma, Sushil Singla

A Banach space characterization of simple real or complex $C^{*}$ -algebras is given which even characterizes the underlying field. As an application, it is shown that if $\mathfrak A…

math.FA2024★ 1 cited

Birkhoff-James classification of norm's properties

Alexander Guterman, Bojan Kuzma, Sushil Singla +1

For an arbitrary normed space $X$ over a field $F \in {R, C}$ , we define the directed graph $Γ (X)$ induced by Birkhoff-James orthogona…

math.FA2023

Linear maps preserving parallel matrix pairs with respect to the Ky-Fan $k$ -norm

Bojan Kuzma, Chi-Kwong Li, Edward Poon +1

Two bounded linear operators $A$ and $B$ are parallel with respect to a norm $∥ \cdot ∥$ if $∥ A + μ B ∥ = ∥ A ∥ + ∥ B ∥$ for some scalar $μ$ with $∣ μ ∣ = 1$ . Characterization is obtai…

math.OA2022

Sequences of operator algebras converging to odd spheres in the quantum Gromov-Hausdorff distance

Tirthankar Bhattacharyya, Sushil Singla

Marc Rieffel had introduced the notion of the quantum Gromov-Hausdorff distance on compact quantum metric spaces and found a sequence of matrix algebras that converges to the space…

Generating $\psl{2}{q}$ by elements of prime orders 2 and p

Representations of noncommutative cubes and prisms

Gateaux derivative of matrix norms in operator spaces and operator systems

Geometry of essential matrix ranges and the Smith-Ward problem for operator systems

Linear maps preserving product of involutions

Birkhoff-James classification of finite-dimensional C∗-algebras

Classification of abelian finite-dimensional C∗-algebras by orthogonality

Linear preservers of parallel matrix pairs with respect to the k-numerical radius

Non-linear classification of finite-dimensional simple C∗-algebras

Birkhoff-James classification of norm's properties

Linear maps preserving parallel matrix pairs with respect to the Ky-Fan k-norm

Sequences of operator algebras converging to odd spheres in the quantum Gromov-Hausdorff distance

Generating $\psl{2}{q}$ by elements of prime orders $2$ and $p$

Birkhoff-James classification of finite-dimensional $C^{*}$ -algebras

Classification of abelian finite-dimensional $C^{*}$ -algebras by orthogonality

Linear preservers of parallel matrix pairs with respect to the $k$ -numerical radius

Non-linear classification of finite-dimensional simple $C^{*}$ -algebras

Linear maps preserving parallel matrix pairs with respect to the Ky-Fan $k$ -norm