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Abstract:

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.

Registro:

Documento: Artículo
Título:Positive decompositions of selfadjoint operators
Autor:Fongi, G.; Maestripieri, A.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactasy Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Instituto Argentino de Matemática-CONICET, Saavedra 15 3p, 1083 Buenos Aires, Argentina
Departamento de Matemática, Facultad de Ingeniería, Universisdad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Congruence of operators; Indefinite metric spaces; Selfadjoint operators
Año:2010
Volumen:67
Número:1
Página de inicio:109
Página de fin:121
DOI: http://dx.doi.org/10.1007/s00020-010-1773-z
Título revista:Integral Equations and Operator Theory
Título revista abreviado:Integr. Equ. Oper. Theory
ISSN:0378620X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0378620X_v67_n1_p109_Fongi

Referencias:

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Citas:

---------- APA ----------
Fongi, G. & Maestripieri, A. (2010) . Positive decompositions of selfadjoint operators. Integral Equations and Operator Theory, 67(1), 109-121.
http://dx.doi.org/10.1007/s00020-010-1773-z
---------- CHICAGO ----------
Fongi, G., Maestripieri, A. "Positive decompositions of selfadjoint operators" . Integral Equations and Operator Theory 67, no. 1 (2010) : 109-121.
http://dx.doi.org/10.1007/s00020-010-1773-z
---------- MLA ----------
Fongi, G., Maestripieri, A. "Positive decompositions of selfadjoint operators" . Integral Equations and Operator Theory, vol. 67, no. 1, 2010, pp. 109-121.
http://dx.doi.org/10.1007/s00020-010-1773-z
---------- VANCOUVER ----------
Fongi, G., Maestripieri, A. Positive decompositions of selfadjoint operators. Integr. Equ. Oper. Theory. 2010;67(1):109-121.
http://dx.doi.org/10.1007/s00020-010-1773-z