On frames for Krein spaces

Mostrar todas las versiones(2)

A definition of frames for Krein spaces is proposed, which extends the notion of . J-orthonormal bases of Krein spaces. A . J-frame for a Krein space . (H,[,]) is in particular a frame for . H in the Hilbert space sense. But it is also compatible with the indefinite inner product [. , . ], meaning t...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Giribet, J.I., Maestripieri, A., Martínez Pería, F., Massey, P.G.
Formato:	JOUR
Materias:	Frames Krein spaces Uniformly J-definite subspaces
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0022247X_v393_n1_p122_Giribet
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_0022247X_v393_n1_p122_Giribet
record_format	dspace
spelling	todo:paper_0022247X_v393_n1_p122_Giribet2023-10-03T14:29:19Z On frames for Krein spaces Giribet, J.I. Maestripieri, A. Martínez Pería, F. Massey, P.G. Frames Krein spaces Uniformly J-definite subspaces A definition of frames for Krein spaces is proposed, which extends the notion of . J-orthonormal bases of Krein spaces. A . J-frame for a Krein space . (H,[,]) is in particular a frame for . H in the Hilbert space sense. But it is also compatible with the indefinite inner product [. , . ], meaning that it determines a pair of maximal uniformly . J-definite subspaces, an analogue to the maximal dual pair associated to a . J-orthonormal basis.Also, each . J-frame induces an indefinite reconstruction formula for the vectors in . H, which resembles the one given by a . J-orthonormal basis. © 2012 Elsevier Ltd. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v393_n1_p122_Giribet
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Frames Krein spaces Uniformly J-definite subspaces
spellingShingle	Frames Krein spaces Uniformly J-definite subspaces Giribet, J.I. Maestripieri, A. Martínez Pería, F. Massey, P.G. On frames for Krein spaces
topic_facet	Frames Krein spaces Uniformly J-definite subspaces
description	A definition of frames for Krein spaces is proposed, which extends the notion of . J-orthonormal bases of Krein spaces. A . J-frame for a Krein space . (H,[,]) is in particular a frame for . H in the Hilbert space sense. But it is also compatible with the indefinite inner product [. , . ], meaning that it determines a pair of maximal uniformly . J-definite subspaces, an analogue to the maximal dual pair associated to a . J-orthonormal basis.Also, each . J-frame induces an indefinite reconstruction formula for the vectors in . H, which resembles the one given by a . J-orthonormal basis. © 2012 Elsevier Ltd.
format	JOUR
author	Giribet, J.I. Maestripieri, A. Martínez Pería, F. Massey, P.G.
author_facet	Giribet, J.I. Maestripieri, A. Martínez Pería, F. Massey, P.G.
author_sort	Giribet, J.I.
title	On frames for Krein spaces
title_short	On frames for Krein spaces
title_full	On frames for Krein spaces
title_fullStr	On frames for Krein spaces
title_full_unstemmed	On frames for Krein spaces
title_sort	on frames for krein spaces
url	http://hdl.handle.net/20.500.12110/paper_0022247X_v393_n1_p122_Giribet
work_keys_str_mv	AT giribetji onframesforkreinspaces AT maestripieria onframesforkreinspaces AT martinezperiaf onframesforkreinspaces AT masseypg onframesforkreinspaces
_version_	1807316476835659776

On frames for Krein spaces

Ejemplares similares