Not all pure states on B(H) are diagonalizable

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dc.creatorAkemann, Charles
dc.creatorWeaver, Nik
dc.date2006-06-07
dc.date.accessioned2026-07-07T07:17:02Z
dc.date.available2026-07-07T07:17:02Z
dc.descriptionAssuming the continuum hypothesis, we prove that B(H) has a pure state whose restriction to any masa is not pure. This resolves negatively an old conjecture of Anderson.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0606168
dc.identifierhttp://arxiv.org/abs/math/0606168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113801
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectLogic
dc.subject46A32; 46L30; 47L05 ; 03E50
dc.titleNot all pure states on B(H) are diagonalizable
dc.typetext

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