Bojan Kuzma

collaborators

4 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 StefanoviÄ

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…

(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

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