A Decomposition Theorem for Positive Maps, and the Projection Onto a Spin Factor

DOI10.7146/MATH.SCAND.A-23300zbMath1345.46059arXiv1308.3332OpenAlexW1480191075MaRDI QIDQ2795653

Erling Størmer

Publication date: 22 March 2016

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3332

zbMATH Keywords

completely positive mapspin factorpositive mapsatomic map\( C^\ast\)-algebradecomposable mapbi-optimal map

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Positive linear operators and order-bounded operators (47B65) Nonassociative selfadjoint operator algebras (46L70) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

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All 2-positive linear maps from \(M_3(\mathbb{C})\) to \(M_3(\mathbb{C})\) are decomposable

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