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Oblique projections and frames
Authors:J Antezana  G Corach  M Ruiz  D Stojanoff
Institution:IAM-CONICET and Departamento de Matemática, FCE-UNLP, La Plata, Argentina ; IAM-CONICET and Departamento de Matemática, FI-UBA, Saavedra 15, Piso 3 (1083), Ciudad Autónoma de Buenos Aires, Argentina ; IAM-CONICET and Departamento de Matemática, FCE-UNLP, La Plata, Argentina ; IAM-CONICET and Departamento de Matemática, FCE-UNLP, La Plata, Argentina
Abstract:We characterize those frames on a Hilbert space $ \mathcal {H}$ which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension $ \mathcal {K}$ of $ \mathcal {H}$. We show that all frames with infinite excess and frame bounds $ 1\le A \le B$ are of this type. This gives a generalization of a result of Han and Larson which only holds for normalized tight frames.

Keywords:Frames  oblique projections
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