Bojan Kuzma

activity

20232025

most citedBirkhoff-James classification of norm's properties

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.FA2025

(Real)linear preservers of multiples of unitaries and matrix pairs with some extremal norm properties

Bojan Kuzma, Chi-Kwong Li, Edward Poon

We determine the structure of linear maps on complex (real) square matrices sending unitary (orthogonal) matrices to multiples of unitary (orthogonal) matrices. The result is used…

math.OA2025

Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^{*}$ -algebra

Bojan Kuzma, Srdjan Stefanović

We classify bijective maps which strongly preserve Birkhoff-James orthogonality on a finite-dimensional complex $C^{*}$ -algebra. It is shown that those maps are close to being real-l…

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.RT2024

Vanishing Immanants

Hassan Cheraghpour, Bojan Kuzma

We classify all the irreducible characters of a symmetric group such that the induced immanant function $d_{χ}$ vanishes identically on alternate matrices with the entries in the com…

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…

(Real)linear preservers of multiples of unitaries and matrix pairs with some extremal norm properties

Isomorphisms of Birkhoff-James orthogonality on finite-dimensional C∗-algebra

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

Vanishing Immanants

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

Isomorphisms of Birkhoff-James orthogonality on finite-dimensional $C^{*}$ -algebra

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