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math.RA2022★ 2 cited
The solution of the Loewy-Radwan conjecture
Matjaž Omladič, Klemen Šivic
A seminal result of Gerstenhaber gives the maximal dimension of a linear space of nilpotent matrices. It also exhibits the structure of this space where the maximal dimension is at…
math.RA2022★ 1 cited
On approximate commutativity of spaces of matrices
Matjaž Omladič, Heydar Radjavi, Klemen Šivic
The maximal dimension of commutative subspaces of is known. So is the structure of such a subspace when the maximal dimension is achieved. We consider extensions…