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Refinements of spectral resolutions and modelling of operators in II$_1$ factors

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 نشر من قبل Pedro Massey
 تاريخ النشر 2006
  مجال البحث
والبحث باللغة English
 تأليف Pedro G. Massey




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We study refinements between spectral resolutions in an arbitrary II$_1$ factor $M$ and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in $M$ and n



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