A non-diagonalizable pure state

DOI10.1073/pnas.2011885117zbMath1485.46063arXiv2002.05230OpenAlexW3112827008WikidataQ104486264 ScholiaQ104486264MaRDI QIDQ5073240

Piotr Koszmider

Publication date: 5 May 2022

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.05230

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) States of selfadjoint operator algebras (46L30)

Cites Work

• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• Combinatorial Cardinal Characteristics of the Continuum
• ℬ( H ) has a pure state that is not multiplicative on any masa
• Extensions of Pure States
• Extensions, Restrictions, and Representations of States on C ∗ - Algebras
• A local Ramsey theory for block sequences
• A nonstable 𝐶*-algebra with an elementary essential composition series
• Combinatorial Set Theory of C*-algebras
• Forcing for Mathematicians
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