Abstract
Under natural conditions, it is shown that a completely positive operator between two non-commutative symmetric spaces of τ-measurable operators which is dominated in the sense of complete positivity by a completely positive compact operator is itself compact.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Dodds, P.G., de Pagter, B. Completely positive compact operators on non-commutative symmetric spaces. Positivity 14, 665–679 (2010). https://doi.org/10.1007/s11117-010-0073-9
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DOI: https://doi.org/10.1007/s11117-010-0073-9