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

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

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Title: On extension of multi-parametric local semigroups of isometric operators and some applications
Author: Bruzual, R.; Domínguez, M.; Pérez, A.
Abstract: It is shown that, under certain uniqueness conditions, a strongly continuous n-parametric local semigroup of isometric operators on a Hilbert space, can be extended to a strongly continuous 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.GK ̇rei ̆n ex- tension theorem, for positive definite functions, is given.
Description: Universidad Central de Venezuela, Consejo de Desarrollo Científico y Humanístico. Subvención PI-03-8623-2013/2
URI: http://hdl.handle.net/10662/10274
Date: 2013


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