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Complete positivity of mapping valued linear maps

✍ Scribed by Takashi Itoh; Masaru Nagisa

Publisher
Springer-Verlag
Year
1988
Tongue
French
Weight
179 KB
Volume
197
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

On a positive linear map preserving abso
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Suppose m is an n X 12 (n 2 2) matrix algebra over a C\*-algebra g, and Q? is a C\*-algebra. If p : i?X + '23 is a positive, disjoint linear map, then p preserves absolute values. In particular, for a linear map rp : '?I + '$3 of P-algebras, p preserves absolute values if and only if it is positive

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## Abstract The paper is concerned with completely positive maps on the algebra of unbounded operatore __L__+(__D__) and on its completion __L__(D, D^+^). A decomposition theorem for continuous positive functionals is proved in [Tim. Loef.), and [Scholz 91] contains a generalization to maps into op

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✍ Chi-Kwong Li; Hugo J. Woerdeman πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 642 KB

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 <