On frames for Krein spaces

dc.creator	Giribet, J. I.
dc.creator	Maestripieri, Alejandra Laura
dc.creator	Martínez Pería, Francisco Dardo
dc.creator	Massey, Pedro Gustavo
dc.date	2012
dc.date	2019-10-23T18:41:50Z
dc.identifier	http://sedici.unlp.edu.ar/handle/10915/83926
dc.identifier	issn:0022-247X
dc.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.
dc.description	Facultad de Ciencias Exactas
dc.format	application/pdf
dc.format	122-137
dc.language	en
dc.rights	http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights	Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.subject	Matemática
dc.subject	Frames
dc.subject	Krein spaces
dc.subject	Uniformly J-definite subspaces
dc.title	On frames for Krein spaces
dc.type	Articulo
dc.type	Articulo