HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
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.
Document type :
Journal articles
Complete list of metadata

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


Files produced by the author(s)


  • HAL Id : hal-03526763, version 1



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



Record views


Files downloads