On frames for Krein spaces
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...
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Autores principales: | , , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2012
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83926 |
Aporte de: |
id |
I19-R120-10915-83926 |
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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 |