English

Kaczmarz algorithm in Hilbert space and tight frames

Functional Analysis 2007-05-23 v2

Abstract

We prove that any tight frame in Hilbert space can be obtained by the Kaczmarz algorithm. An explicit way of constructing this correspondence is given. The uniqueness of the correspondence is determined.

Keywords

Cite

@article{arxiv.math/0509236,
  title  = {Kaczmarz algorithm in Hilbert space and tight frames},
  author = {Ryszard Szwarc},
  journal= {arXiv preprint arXiv:math/0509236},
  year   = {2007}
}