On frames for Krein spaces

Mostrar todas las versiones(2)

A definition of frames for Krein spaces is proposed, which extends the notion of ℐ-orthonormal bases of Krein spaces. A ℐ-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 dete...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Giribet, J. I., Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo, Massey, Pedro Gustavo
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2012
Materias:	Matemática Frames Krein spaces Uniformly J-definite subspaces
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/83926
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-83926
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Matemática Frames Krein spaces Uniformly J-definite subspaces
spellingShingle	Matemática Frames Krein spaces Uniformly J-definite subspaces Giribet, J. I. Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo Massey, Pedro Gustavo On frames for Krein spaces
topic_facet	Matemática Frames Krein spaces Uniformly J-definite subspaces
description	A definition of frames for Krein spaces is proposed, which extends the notion of ℐ-orthonormal bases of Krein spaces. A ℐ-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 ℐ-definite subspaces, an analogue to the maximal dual pair associated to a ℐ-orthonormal basis. Also, each ℐ-frame induces an indefinite reconstruction formula for the vectors in ℋ, which resembles the one given by a ℐ-orthonormal basis.
format	Articulo Articulo
author	Giribet, J. I. Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo Massey, Pedro Gustavo
author_facet	Giribet, J. I. Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo Massey, Pedro Gustavo
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
publishDate	2012
url	http://sedici.unlp.edu.ar/handle/10915/83926
work_keys_str_mv	AT giribetji onframesforkreinspaces AT maestripierialejandralaura onframesforkreinspaces AT martinezperiafranciscodardo onframesforkreinspaces AT masseypedrogustavo onframesforkreinspaces
bdutipo_str	Repositorios
_version_	1764820488193835010

On frames for Krein spaces

Ejemplares similares