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http://hdl.handle.net/10662/10274
| Title: | On extension of multi-parametric local semigroups of isometric operators and some applications |
| Authors: | Bruzual, Ramón Domínguez, Marisela Pérez, A. |
| Keywords: | Symmetric operator;Self-adjoint operator;Semigroup of operators;Unitary operator;Cayley transform;Positive definite function;Operador simétrico;Operador autoadjunto;Semigrupo de operadores;Operador unitario;Transformación de Cayley;Función positiva definida |
| Issue Date: | 2013 |
| Publisher: | Universidad de Extremadura |
| 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 |
| Appears in Collections: | Extracta Mathematicae Vol. 28, nº 2 (2013) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_28_2_169.pdf | 158,31 kB | Adobe PDF | View/Open |
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