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 2024Show all

5 papers · 1 filter

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…

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

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