Displaying similar documents to “Every Frame is a Sum of Three (But Not Two) Orthonormal Bases-and Other Frame Representations.”

Subsequences of frames

R. Vershynin (2001)

Studia Mathematica

Similarity:

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.