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Journal articles

Pinchings and positive linear maps

Abstract : 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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https://hal.archives-ouvertes.fr/hal-03526763
Contributor : Jean-Christophe Bourin Connect in order to contact the contributor
Submitted on : Friday, January 14, 2022 - 4:49:51 PM
Last modification on : Thursday, January 27, 2022 - 3:45:28 AM
Long-term archiving on: : Friday, April 15, 2022 - 7:13:58 PM

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  • 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, Elsevier, 2016. ⟨hal-03526763⟩

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