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

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

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Title: Operator valued versions of the Radon-Nikodym theorem and of the F. and M. Riesz theorem
Author: Bruzual, Ramón; Domínguez, Marisela; Suárez, Javier
Abstract: 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. We also give some related counterexamples.
URI: http://hdl.handle.net/10662/10315
Date: 2013


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