Subsequences of frames
Volume 145 / 2001
Studia Mathematica 145 (2001), 185-197
MSC: 46C05, 46B07.
DOI: 10.4064/sm145-3-1
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 $(1 - \varepsilon ) n$. On the other hand, there is a frame which does not contain bases with brackets.
