Ilja Gogi'c

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math.SP2025

A variant of Å emrl's preserver theorem for singular matrices

Alexandru Chirvasitu, Ilja GogiÄ, Mateo TomaÅ¡eviÄ

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 GogiÄ, Mateo TomaÅ¡eviÄ

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…