Factorization of Hilbert port operators with poles on the imaginary axis |
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| Authors: | Graciela Gnavi |
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| Affiliation: | 1. Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina;2. Instituto Argentino de Matemática, CONICET Argentina |
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| Abstract: | A factorization method is given to extract poles located on the imaginary axis for J-biexpansive meromorphic operator-valued functions acting on an infinite-dimensional Hilbert space. Decomposition of a real operator in terms of real factors, applicable to Hilbert ports, is also described, thus generalizing synthesis techniques originally developed for passive n-ports. |
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