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Generalized Toeplitz Kernels and dilations of intertwining operators

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Abstract

It is shown that the basic properties of the so called (operator-valued) generalized Toeplitz Kernels, [5], allow to derive in a unified and natural way different results concerning the dilation of operators, such as the lifting theorem of Nagy-Foias and corresponding unicity conditions.

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References

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  1. Apartado Postal 47380, 1041-A, Caracas, Venezuela

    Rodrigo Arocena

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  1. Rodrigo Arocena
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Arocena, R. Generalized Toeplitz Kernels and dilations of intertwining operators. Integr equ oper theory 6, 759–778 (1983). https://doi.org/10.1007/BF01691923

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