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Special classes of positive and completely positive maps

✍ Scribed by Chi-Kwong Li; Hugo J. Woerdeman

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
642 KB
Volume
255
Category
Article
ISSN
0024-3795

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✦ Synopsis

Characterizations are given for the positive and completely positive maps on n x 1~ 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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