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On extension of multi-parametric local semigroups of isometric operators and some applications

  • Autores: Ramón Bruzual, Marisela Domínguez, A. Pérez
  • Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 28, Nº 2, 2013, págs. 169-195
  • Idioma: inglés
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  • Resumen
    • It is shown that, under certain uniqueness conditions, a strongly continous n-parametric local semigroup of isometric operators on a Hilbert space, can be extended to a strongly continous n-parametric group of unitary operators on a larger Hilbert space. As an application a proof of the G.I. Èskin multi-dimensional version of the M.GKrein extension theorem, for positive definite functions, is given


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