Factorization of J-expansive meromorphic operator-valued functions

The factorization theorems are a generalization for J-biexpansive meromorphic operator-valued functions on an infinite-dimensional Hilbert space of the theorems on decomposition of J-expansive matrix functions on a finite-dimensional Hilbert space due to A. V. Efimov and V. P. Potapov [Uspekhi Mat....

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Autor principal: Gnavi, Graciela Delia
Publicado: 1981
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01968858_v2_n1_p13_Gnavi
http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_01968858_v2_n1_p13_Gnavi2023-06-08T15:20:31Z Factorization of J-expansive meromorphic operator-valued functions Gnavi, Graciela Delia The factorization theorems are a generalization for J-biexpansive meromorphic operator-valued functions on an infinite-dimensional Hilbert space of the theorems on decomposition of J-expansive matrix functions on a finite-dimensional Hilbert space due to A. V. Efimov and V. P. Potapov [Uspekhi Mat. Nauk 28 (1973), 65-130; Trudy Moskov. Mat. Obšč. 4 (1955), 125-236]. They also generalize theorems on factorization of J-expansive meromorphic operator functions due to Ju. P. Ginzburg [Izv. Vysš. Učebn. Zaved. Matematika 32 (1963), 45-53]. Within the framework of generalized network theory, the results can be applied to the J-biexpansive real operators that characterize a Hilbert port. Application of the extraction procedure to a given real operator leads to its splitting into a product of real factors, corresponding to Hilbert ports of a simpler structure. This can be interpreted as an extension of the classical method of synthesis of passive n-ports by factor decomposition. © 1981. Fil:Gnavi, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1981 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01968858_v2_n1_p13_Gnavi http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The factorization theorems are a generalization for J-biexpansive meromorphic operator-valued functions on an infinite-dimensional Hilbert space of the theorems on decomposition of J-expansive matrix functions on a finite-dimensional Hilbert space due to A. V. Efimov and V. P. Potapov [Uspekhi Mat. Nauk 28 (1973), 65-130; Trudy Moskov. Mat. Obšč. 4 (1955), 125-236]. They also generalize theorems on factorization of J-expansive meromorphic operator functions due to Ju. P. Ginzburg [Izv. Vysš. Učebn. Zaved. Matematika 32 (1963), 45-53]. Within the framework of generalized network theory, the results can be applied to the J-biexpansive real operators that characterize a Hilbert port. Application of the extraction procedure to a given real operator leads to its splitting into a product of real factors, corresponding to Hilbert ports of a simpler structure. This can be interpreted as an extension of the classical method of synthesis of passive n-ports by factor decomposition. © 1981.
author Gnavi, Graciela Delia
spellingShingle Gnavi, Graciela Delia
Factorization of J-expansive meromorphic operator-valued functions
author_facet Gnavi, Graciela Delia
author_sort Gnavi, Graciela Delia
title Factorization of J-expansive meromorphic operator-valued functions
title_short Factorization of J-expansive meromorphic operator-valued functions
title_full Factorization of J-expansive meromorphic operator-valued functions
title_fullStr Factorization of J-expansive meromorphic operator-valued functions
title_full_unstemmed Factorization of J-expansive meromorphic operator-valued functions
title_sort factorization of j-expansive meromorphic operator-valued functions
publishDate 1981
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01968858_v2_n1_p13_Gnavi
http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi
work_keys_str_mv AT gnavigracieladelia factorizationofjexpansivemeromorphicoperatorvaluedfunctions
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