English

On scalable $K$-frames and a version of Lax-Milgram theorem

Functional Analysis 2024-02-13 v1

Abstract

In this paper, we first prove a theorem by a little modification on the Lax-Milgram theorem. Then, using KK-frames, we obtain lower and upper bounds for the results obtained from this theorem. Also, we present some methods for the characterization of scalable KK-frames. Finally, we introduce piecewise scalable KK-frames and give necessary and sufficient conditions for a KK-frame to be piecewise scalable.

Keywords

Cite

@article{arxiv.2402.07699,
  title  = {On scalable $K$-frames and a version of Lax-Milgram theorem},
  author = {F. Javadi and M. J. Mehdipour},
  journal= {arXiv preprint arXiv:2402.07699},
  year   = {2024}
}
R2 v1 2026-06-28T14:46:04.022Z