Subsequences of frames

R. Vershynin

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arXiv · math/9902097

Subsequences of frames

R. Vershynin

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Abstract

Every frame in Hilbert space contains a subsequence equivalent to an orthogonal basis. If a frame is n-dimensional then this subsequence has length (1 - ε) n. On the other hand, there is a frame which does not contain bases with brackets.

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R. Vershynin. 1999-02-15. Subsequences of frames. https://arxiv.org/abs/math/9902097

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