Subnormality and moment problems
- Autores: Florian-Horia Vasilescu
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 24, Nº 2, 2009 (Ejemplar dedicado a: Fourth Advanced Course in Complex Analysis and Operator Theory), págs. 167-186
- Idioma: inglés
- Enlaces
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Resumen
There exists a strong connection between the concept of (sub)normality and that of moment problem. They interact very often, sometimes in a subtle, unexpected way. It is possible to use a (sub)normality result, providing eventually a spectral measure, used to solve a moment problem. Conversely, there are situations when the solution to a moment problem leads to the existence of a normal extension for some operators. The present work endeavor to present several results sustaining the interplay mentioned above, as well as the necessary background to understand those phenomena, both is a bounded or a unbounded context.
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