English

New Identity on Parseval p-Approximate Schauder Frames and Applications

Functional Analysis 2021-01-15 v1

Abstract

A very useful identity for Parseval frames for Hilbert spaces was obtained by Balan, Casazza, Edidin, and Kutyniok. In this paper, we obtain a similar identity for Parseval p-approximate Schauder frames for Banach spaces which admits a homogeneous semi-inner product in the sense of Lumer-Giles.

Keywords

Cite

@article{arxiv.2101.05722,
  title  = {New Identity on Parseval p-Approximate Schauder Frames and Applications},
  author = {K. Mahesh Krishna and P. Sam Johnson},
  journal= {arXiv preprint arXiv:2101.05722},
  year   = {2021}
}

Comments

6 pages

R2 v1 2026-06-23T22:10:24.228Z