Multiplicative properties of positive maps

• Autores: Erling Stormer
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 100, Nº 1, 2007, págs. 184-192
• Idioma: inglés
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• Resumen

  • Let f be a positive unital normal map of a von Neumann algebra M into itself. It is shown that with some faithfulness assumptions on f there exists a largest Jordan subalgebra Cf of M such that the restriction of f to Cf is a Jordan automorphism and each weak limit point of (fn(a)) for a M belongs to Cf.