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http://hdl.handle.net/10662/10315
| 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. |
| URI: | http://hdl.handle.net/10662/10315 |
| Appears in Collections: | Extracta Mathematicae Vol. 28, nº 1 (2013) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_28_1_37.pdf | 115,37 kB | Adobe PDF | View/Open |
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