Special Classes of Positive and Completely Positive Maps

نویسنده

  • Chi-Kwong Li
چکیده

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 was 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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تاریخ انتشار 2007