Bojan Kuzma

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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.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 $w_{k} (A + I^¼ B) = w_{k} (A) + w_{k} (B)$ for so…

math.FA2024

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 $I^ (X)$ induced by Birkhoff-James orthogon…

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

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

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

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