On frames for Krein spaces

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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...

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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
Descripción
Sumario: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.

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