English

Applications of Lax-Milgram theorem to problems in frame theory

Functional Analysis 2022-12-05 v1

Abstract

We apply Lax-Milgram theorem to characterize scalable and piecewise scalable frame in finite and infinite-dimensional Hilbert spaces. We also introduce a method for approximating the inverse frame operator using finite-dimensional linear algebra which, to the best of our knowledge, is new in the literature.

Keywords

Cite

@article{arxiv.2212.01102,
  title  = {Applications of Lax-Milgram theorem to problems in frame theory},
  author = {Laura De Carli and Pierluigi Vellucci},
  journal= {arXiv preprint arXiv:2212.01102},
  year   = {2022}
}