English

Subsequences of frames

Functional Analysis 2007-05-23 v1

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 - \epsilon) n. On the other hand, there is a frame which does not contain bases with brackets.

Keywords

Cite

@article{arxiv.math/9902097,
  title  = {Subsequences of frames},
  author = {R. Vershynin},
  journal= {arXiv preprint arXiv:math/9902097},
  year   = {2007}
}

Comments

16 pages, LaTeX