Not all pure states on B(H) are diagonalizable

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Assuming 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.
3 pages

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Operator Algebras, Functional Analysis, Logic, 46A32; 46L30; 47L05 ; 03E50

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http://salesiana.dossiersoluciones.com/handle/123456789/113801

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606168
 http://arxiv.org/abs/math/0606168

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arXiv