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Article Dans Une Revue Journal of Functional Analysis Année : 2016

Pinchings and positive linear maps

Résumé

We employ the pinching theorem, ensuring that some operators A admit any sequence of contractions as an operator diagonal of A, to deduce/improve two recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional expectations onto a masa in the algebra of operators on a Hilbert space. Similarly, we obtain a proof of a theorem of Akeman and Anderson showing that positive contractions in a continuous masa can be lifted to a projection. We also discuss a few corollaries for sums of two operators in the same unitary orbit.
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Dates et versions

hal-03526763 , version 1 (14-01-2022)

Identifiants

  • HAL Id : hal-03526763 , version 1

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Jean-Christophe Bourin, Eun-Young Lee. Pinchings and positive linear maps. Journal of Functional Analysis, 2016. ⟨hal-03526763⟩
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