Positive linear maps on Hilbert space operators and noncommutative L p spaces
Résumé
We extend some inequalities for normal matrices and positive linear maps related to the Russo-Dye theorem. The results cover the case of some positive linear maps Φ on a von Neumann algebra M such that Φ(X) is unbounded for all nonzero X ∈ M.
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Positive linear maps on Hilbert space operators and noncommutative $L_p$ spaces.pdf (254.5 Ko)
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