Oblique projections and frames
We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess and frame bounds 1 ≤ A ≤ B are of this type. This gives a generalization of a result o...
Guardado en:
Autores principales: | , , , |
---|---|
Formato: | Articulo |
Lenguaje: | Inglés |
Publicado: |
2006
|
Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83137 |
Aporte de: |
Sumario: | We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess and frame bounds 1 ≤ A ≤ B are of this type. This gives a generalization of a result of Han and Larson which only holds for normalized tight frames. |
---|