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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Guardado en:
Detalles Bibliográficos
Publicado: 2010
Materias:
Congruence of operators
Indefinite metric spaces
Selfadjoint operators
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v67_n1_p109_Fongi
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 paper:paper_0378620X_v67_n1_p109_Fongi
record_format dspace
spelling paper:paper_0378620X_v67_n1_p109_Fongi2023-06-08T15:40:26Z Positive decompositions of selfadjoint operators 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. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v67_n1_p109_Fongi 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
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.
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
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v67_n1_p109_Fongi
http://hdl.handle.net/20.500.12110/paper_0378620X_v67_n1_p109_Fongi
_version_ 1768544870245335040

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