Aljaž Zalar

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20102026

most citedMoment problems for operator polynomials

25 citations · 85 across the 22 of their papers we have counts for

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3 papers · 1 filter

math.OA2016★ 24 cited

Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets

Aljaž Zalar

This article studies algebraic certificates of positivity for noncommutative (nc) operator-valued polynomials on matrix convex sets, such as the solution set $D_{L}$ , called a free H…

math.OA2014

Integral representations of -representations of -algebras

Aljaž Zalar

Regular normalized $B (W_{1}, W_{2})$ -valued non-negative spectral measures introduced in \cite{Zalar2014} are in one-to-one correspondence with unital $*$ -representations $ρ:C(X,\mat…

math.OA2010★ 1 cited

A note on a matrix version of the Farkas lemma

Aljaž Zalar

A linear polyomial non-negative on the non-negativity domain of finitely many linear polynomials can be expressed as their non-negative linear combination. Recently, under several…

Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets

Integral representations of *-representations of *-algebras

A note on a matrix version of the Farkas lemma

Integral representations of -representations of -algebras