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Title: Operator valued versions of the Radon-Nikodym theorem and of the F. and M. Riesz theorem
Authors: Bruzual, Ramón
Domínguez, Marisela
Suárez, Javier
Keywords: Operator valued measure;Weakly measurable;Fourier transform;Absolutely continuous measure;Medida valorada por el operador;Débilmente medible;Transformada de Fourier;Medida absolutamente continua
Issue Date: 2013
Publisher: Universidad de Extremadura
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.
Appears in Collections:Extracta Mathematicae Vol. 28, nº 1 (2013)

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