Saber UCV
Repositorio Institucional
Repositorio Institucional
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https://saber.ucv.ve/handle/10872/4366
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| Title: | On dilation of local semigroups of contractions and some applications |
| Authors: | Padilla, Angel Domínguez, Marisela Bruzual, Ramón |
| Keywords: | Operator semigroup, contraction operator, isometric operator positive definite |
| Issue Date: | 10-Oct-2013 |
| Series/Report no.: | Extracta mathematicae;27 |
| 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 de nite functions on the line, generalizing the Kre n extension theorem. |
| URI: | http://hdl.handle.net/10872/4366 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Artículos Publicados |
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