Positive decompositions of selfadjoint operators

Given a linear bounded selfadjoint operator a on a complex separable Hilbert space H, we study the decompositions of a as a difference of two positive operators whose ranges satisfy an angle condition. These decompositions are related to the canonical decompositions of the indefinite metric space (H...

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Detalles Bibliográficos
Autores principales:	Fongi, G., Maestripieri, A.
Formato:	JOUR
Materias:	Congruence of operators Indefinite metric spaces Selfadjoint operators
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0378620X_v67_n1_p109_Fongi
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_0378620X_v67_n1_p109_Fongi
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spelling	todo:paper_0378620X_v67_n1_p109_Fongi2023-10-03T15:33:13Z Positive decompositions of selfadjoint operators Fongi, G. Maestripieri, A. Congruence of operators Indefinite metric spaces Selfadjoint operators Given a linear bounded selfadjoint operator a on a complex separable Hilbert space H, we study the decompositions of a as a difference of two positive operators whose ranges satisfy an angle condition. These decompositions are related to the canonical decompositions of the indefinite metric space (H, 〈, 〉a), associated to a. As an application, we characterize the orbit of congruence of a in terms of its positive decompositions. © Birkhäuser / Springer Basel AG 2010. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0378620X_v67_n1_p109_Fongi
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Congruence of operators Indefinite metric spaces Selfadjoint operators
spellingShingle	Congruence of operators Indefinite metric spaces Selfadjoint operators Fongi, G. Maestripieri, A. Positive decompositions of selfadjoint operators
topic_facet	Congruence of operators Indefinite metric spaces Selfadjoint operators
description	Given a linear bounded selfadjoint operator a on a complex separable Hilbert space H, we study the decompositions of a as a difference of two positive operators whose ranges satisfy an angle condition. These decompositions are related to the canonical decompositions of the indefinite metric space (H, 〈, 〉a), associated to a. As an application, we characterize the orbit of congruence of a in terms of its positive decompositions. © Birkhäuser / Springer Basel AG 2010.
format	JOUR
author	Fongi, G. Maestripieri, A.
author_facet	Fongi, G. Maestripieri, A.
author_sort	Fongi, G.
title	Positive decompositions of selfadjoint operators
title_short	Positive decompositions of selfadjoint operators
title_full	Positive decompositions of selfadjoint operators
title_fullStr	Positive decompositions of selfadjoint operators
title_full_unstemmed	Positive decompositions of selfadjoint operators
title_sort	positive decompositions of selfadjoint operators
url	http://hdl.handle.net/20.500.12110/paper_0378620X_v67_n1_p109_Fongi
work_keys_str_mv	AT fongig positivedecompositionsofselfadjointoperators AT maestripieria positivedecompositionsofselfadjointoperators
_version_	1807315462156976128

Positive decompositions of selfadjoint operators

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