Artículo
Giribet, J.I.; Maestripieri, A.; Martínez Pería, F.; Massey, P.G. "On frames for Krein spaces" (2012) Journal of Mathematical Analysis and Applications. 393(1):122-137
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | On frames for Krein spaces |
| Autor: | Giribet, J.I.; Maestripieri, A.; Martínez Pería, F.; Massey, P.G. |
| Filiación: | Departamento de Matemática, FI-UBA, Buenos Aires, Argentina Instituto Argentino de Matemática Alberto P. Calderón - CONICET, Saavedra 15, Piso 3, (1083) Buenos Aires, Argentina Departamento de Matemática, FCE-UNLP, La Plata, Argentina |
| Palabras clave: | Frames; Krein spaces; Uniformly J-definite subspaces |
| Año: | 2012 |
| Volumen: | 393 |
| Número: | 1 |
| Página de inicio: | 122 |
| Página de fin: | 137 |
| DOI: | http://dx.doi.org/10.1016/j.jmaa.2012.03.040 |
| Título revista: | Journal of Mathematical Analysis and Applications |
| Título revista abreviado: | J. Math. Anal. Appl. |
| ISSN: | 0022247X |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v393_n1_p122_Giribet |
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Citas:
---------- APA ----------
Giribet, J.I., Maestripieri, A., Martínez Pería, F. & Massey, P.G. (2012) . On frames for Krein spaces. Journal of Mathematical Analysis and Applications, 393(1), 122-137.http://dx.doi.org/10.1016/j.jmaa.2012.03.040
---------- CHICAGO ----------
Giribet, J.I., Maestripieri, A., Martínez Pería, F., Massey, P.G. "On frames for Krein spaces" . Journal of Mathematical Analysis and Applications 393, no. 1 (2012) : 122-137.http://dx.doi.org/10.1016/j.jmaa.2012.03.040
---------- MLA ----------
Giribet, J.I., Maestripieri, A., Martínez Pería, F., Massey, P.G. "On frames for Krein spaces" . Journal of Mathematical Analysis and Applications, vol. 393, no. 1, 2012, pp. 122-137.http://dx.doi.org/10.1016/j.jmaa.2012.03.040
---------- VANCOUVER ----------
Giribet, J.I., Maestripieri, A., Martínez Pería, F., Massey, P.G. On frames for Krein spaces. J. Math. Anal. Appl. 2012;393(1):122-137.http://dx.doi.org/10.1016/j.jmaa.2012.03.040
