12 citations · 16 across the 9 of their papers we have counts for
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Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size
Duško Bogdanić, Alen Đurić, Sara Koljančić +2
In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix consisting of two Jordan block…
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…
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…
New examples of extremal positive linear maps
Anita Buckley, Klemen Šivic
New families of nonnegative biquadratic forms that have 8, 9 or 10 real zeros in are constructed. These are the first examples with 8, 9 or 10 rea…
Exotic one-parameter semigroups of endomorphisms of a symmetric cone
Bojan Kuzma, Matjaž Omladič, Klemen Šivic +1
We construct an exotic one-parameter semigroup of endomorphims of a symmetric cone , whose generator is not the sum of a Lie group generator and an endomorphism of . The ques…