On dilation of local semigroups of contractions and some applications
- Autores: Ramón Bruzual, Marisela Domínguez, Angel Padilla
- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 27, Nº 2, 2012, págs. 163-174
- Idioma: inglés
- Enlaces
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Resumen
We show that a multiplicative family of contractions on a separable Hilbert space, with parameter on the interval [0; 1) of the dyadic rationals, has a unitary dilation with parameter on the dyadic rationals and values on a larger Hilbert space. This result is used to prove a dilation result for strongly continuous local semigroups of contractions. As an application we give results of extension of positive definite functions on the line, generalizing the Krein extension theorem.
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