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Sriram Balasubramanian
A note on decomposable maps on operator systems
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| Published: |
July 26, 2020. |
| Keywords: |
Positive maps, completely positive (cp) maps, co-completely
positive (co-cp) maps, decomposable maps. |
| Subject: |
46L05, 15B48 (Primary), 47B65, 47L07 (Secondary). |
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Abstract
This article contains a characterization of operator systems S
with the property that every positive map φ: S → Mn
is decomposable, as well as an alternate and a more direct proof of
a characterization of decomposable maps due to Erling Størmer.
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| Acknowledgements
Research supported by the grant MTR/2018/000113 from the
Department of Science and Technology, India. The author would like to thank Prof. Scott McCullough for many helpful suggestions and Prof. Erling Størmer for useful comments during the initial stages of this work.
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| Author information
Sriram Balasubramanian:
Department of Mathematics
IIT Madras
Chennai - 600036, India
bsriram@iitm.ac.in
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