English

Perturbation of p-approximate Schauder frames for separable Banach spaces

Functional Analysis 2020-12-08 v1

Abstract

Paley-Wiener theorem for frames for Hilbert spaces, Banach frames, Schauder frames and atomic decompositions for Banach spaces are known. In this paper, we derive Paley-Wiener theorem for p-approximate Schauder frames for separable Banach spaces. We show that our results give Paley-Wiener theorem for frames for Hilbert spaces.

Keywords

Cite

@article{arxiv.2012.03054,
  title  = {Perturbation of p-approximate Schauder frames for separable Banach spaces},
  author = {K. Mahesh Krishna and P. Sam Johnson},
  journal= {arXiv preprint arXiv:2012.03054},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T20:45:11.137Z