Factorization of J-expansive meromorphic operator-valued functions

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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 [Uspek...

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Autor principal:	Gnavi, G.
Formato:	Artículo publishedVersion
Publicado:	1981
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01968858_v2_n1_p13_Gnavi_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_01968858_v2_n1_p13_Gnavi_oai2024-08-16 Gnavi, G. 1981 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. application/pdf http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Adv. Appl. Math. 1981;2(1):13-23 Factorization of J-expansive meromorphic operator-valued functions info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01968858_v2_n1_p13_Gnavi_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (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.
format	Artículo Artículo publishedVersion
author	Gnavi, G.
spellingShingle	Gnavi, G. Factorization of J-expansive meromorphic operator-valued functions
author_facet	Gnavi, G.
author_sort	Gnavi, G.
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	http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01968858_v2_n1_p13_Gnavi_oai
work_keys_str_mv	AT gnavig factorizationofjexpansivemeromorphicoperatorvaluedfunctions
_version_	1809357216824688640

Factorization of J-expansive meromorphic operator-valued functions

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