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math.RA2013★ 6 cited
A tracial Nullstellensatz
Igor Klep, Špela Špenko
The main result of this note is a tracial Nullstellensatz for free noncommutative polynomials evaluated at tuples of matrices of all sizes: Suppose f_1,...,f_r,f are free polynomia…
math.RA2013
Functional identities of one variable
Matej Brešar, Špela Špenko
Let be a centrally closed prime algebra over a characteristic 0 field , and let be the trace of a -linear map (i.e., where is a…
math.OA2013
Derivations preserving quasinilpotent elements
J. Alaminos, M. Brešar, J. Extremera +2
We consider a Banach algebra with the property that, roughly speaking, sufficiently many irreducible representations of on nontrivial Banach spaces do not vanish on all squ…