Subsequences of frames

R. Vershynin

Studia Mathematica (2001)

  • Volume: 145, Issue: 3, page 185-197
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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R. Vershynin. "Subsequences of frames." Studia Mathematica 145.3 (2001): 185-197. <http://eudml.org/doc/284797>.

@article{R2001,
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.},
author = {R. Vershynin},
journal = {Studia Mathematica},
keywords = {frame; isomorphism; tight frame; basis with brackets},
language = {eng},
number = {3},
pages = {185-197},
title = {Subsequences of frames},
url = {http://eudml.org/doc/284797},
volume = {145},
year = {2001},
}

TY - JOUR
AU - R. Vershynin
TI - Subsequences of frames
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 3
SP - 185
EP - 197
AB - 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.
LA - eng
KW - frame; isomorphism; tight frame; basis with brackets
UR - http://eudml.org/doc/284797
ER -

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