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Non-linear traces on matrix algebras, majorization, unitary invariant norms and 2-positivity (2109.02031v1)
Published 5 Sep 2021 in math.FA and math.OA
Abstract: We study non-linear traces of Choquet type and Sugeno type on matrix algebras. They have certain partial additivities. We show that these partial additivities characterize non-linear traces of both Choquet type and Sugeno type respectively. There exists a close relation among non-linear traces of Choquet type, majorization, unitary invariant norms and 2-positivity.
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