Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/10337
Title: | On dilation of local semigroups of contractions and some applications |
Authors: | Bruzual, Ramón Domínguez, Marisela Padilla, Ángel |
Keywords: | Operator semigroup;Contraction operator;Isometric operator;Positive definite;Semigrupo del operador;Operador de contracción;Operador isométrico;Positivo definido |
Issue Date: | 2012 |
Publisher: | Universidad de Extremadura |
Abstract: | 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 Kreĭn extension theorem. |
URI: | http://hdl.handle.net/10662/10337 |
Appears in Collections: | Extracta Mathematicae Vol. 27, nº 2 (2012) |
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