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Special classes of positive and completely positive maps
Journal article   Open access   Peer reviewed

Special classes of positive and completely positive maps

Chi-Kwong Li and Hugo J. Woerdeman
Linear algebra and its applications, v 255(1), 247
01 Apr 1997
url
https://doi.org/10.1016/S0024-3795(96)00776-8View
Published, Version of Record (VoR) Restricted

Abstract

Characterizations are given for the positive and completely positive maps on n × n complex matrices that leave invariant the diagonal entries or the kth elementary symmetric function of the diagonal entries, 1 < k ⩽ n. In addition, it is shown that such a positive map is always decomposable if n ⩽ 3, and this fails to hold if n > 3. The real case is also considered.

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Mathematics
Mathematics, Applied
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