Bojan Kuzma

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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.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…

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

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

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

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

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

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