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
Universidad Central de Venezuela
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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