A lifting theorem for subordinated invariant kernels |
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Affiliation: | Departamento de Matemática, Facultad de Ciencias, U.C.V., Caracas, Venezuela;Department of Mathematics, Howard University, Washington, D.C. 20059 U.S.A. |
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Abstract: | A lifting property for subordinated invariant kernels is proved and extended to operator-valued kernels. The connections with the classical Nagy-Foias lifting theorem and with Naimark's dilation theorem are indicated, as well as possible applications to scattering structures and quantum field theory. |
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