Duality for frames in 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 of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated with an orthonormal...
Guardado en:
| Autores principales: | , , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/100541 https://ri.conicet.gov.ar/11336/88411 https://arxiv.org/pdf/1703.03660.pdf |
| Aporte de: |
| Sumario: | 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 of H, meaning that it determines a pair of maximal uniformly definite subspaces, an analogue to the maximal dual pair associated with an orthonormal basis in a Krein space. This work is devoted to study duality for J-frames in Krein spaces. Also, tight and Parseval J-frames are defined and characterized. |
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