Ilja Gogi'c

collaborators

4 papers

math.RA2025

Multiplicative and Jordan multiplicative maps on structural matrix algebras

Ilja Gogić, Mateo Tomašević

Let $M_{n}$ denote the algebra of $n \times n$ complex matrices and let $A \subseteq M_{n}$ be an arbitrary structural matrix algebra, i.e. a subalgebra of $M_{n}$ that contains…

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.RA2024

An extension of Petek-Šemrl preserver theorems for Jordan embeddings of structural matrix algebras

Ilja Gogić, Mateo Tomašević

Let $M_{n}$ be the algebra of $n \times n$ complex matrices and $T_{n} \subseteq M_{n}$ the corresponding upper-triangular subalgebra. In their influential work, Petek and Šemr…