Operator valued versions of the Radon-Nikodym Theorem and of the F. and M. Riesz Theorem

• Autores: Ramón Bruzual, Marisela Domínguez, Javier Suárez
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 28, Nº 1, 2013, págs. 37-48
• Idioma: inglés
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• Resumen

  • For an absolutely continuous operator valued measure in weak sense, we give a necessary and sufficient condition to have a density in strong sense. This result is used to obtain an operator valued version of the F. and M. Riesz Theorem