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

Showing math.FAShow all

5 papers · 1 filter

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.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.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…

Linear maps preserving product of involutions

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

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

Birkhoff-James classification of norm's properties

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

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

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

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