Non-linear traces on matrix algebras, majorization, unitary invariant norms and 2-positivity
Functional Analysis
2021-09-07 v1 Operator Algebras
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.
Keywords
Cite
@article{arxiv.2109.02031,
title = {Non-linear traces on matrix algebras, majorization, unitary invariant norms and 2-positivity},
author = {Masaru Nagisa and Yasuo Watatani},
journal= {arXiv preprint arXiv:2109.02031},
year = {2021}
}
Comments
20 pages