Mateo Tomavsevi'c

activity

20222026

most citedA Variant of the Kaplansky Problem for Maps on Positive Matrices

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2026

Jordan rigidity of full matrix algebras

Ilja Gogić, Matija Kazalicki, Mateo Tomašević

Let $F$ be a field of characteristic different from $2$ , and let $M_{n} (F)^{+}$ denote the Jordan algebra of all $n \times n$ matrices over $F$ with product $…

math.RA2026

Automatic additivity for injective Jordan semi-triple maps on structural matrix rings over division rings

Ilja Gogić, Mateo Tomašević

Let $D$ be a division ring, and let $R \subseteq M_{n} (D)$ be a structural matrix ring over $D$ , that is, the subring of $M_{n} (D)$ supporte…

math.RA2026

The Jordan multiplication semigroup of matrix algebras is the full endomorphism semigroup

Ilja Gogić, Matija Kazalicki, Mateo Tomašević

Let $K$ be a field of characteristic different from $2$ , and let $M_{n} (K)$ be the algebra of all $n \times n$ matrices over $K$ . We consider the correspond…

math.SP2025

A variant of Šemrl's preserver theorem for singular matrices

Alexandru Chirvasitu, Ilja Gogić, Mateo Tomašević

For positive integers $1 \leq k \leq n$ let $M_{n}$ be the algebra of all $n \times n$ complex matrices and $M_{n}^{\leq k}$ its subset consisting of all matrices of rank at most $k$ . W…

math.SP2025

Continuous spectrum-shrinking maps and applications to preserver problems

Alexandru Chirvasitu, Ilja Gogić, Mateo Tomašević

For a positive integer $n$ let $X_{n}$ be either the algebra $M_{n}$ of $n \times n$ complex matrices, the set $N_{n}$ of all $n \times n$ normal matrices, or any of the matrix…

math.FA2022★ 1 cited

A Variant of the Kaplansky Problem for Maps on Positive Matrices

Mateo Tomašević

We prove that all injective maps on positive complex matrices which preserve order and shrink spectrum are implemented by unitary or antiunitary conjugations. We show by counterexa…