English

An estimate for narrow operators on $L^p([0, 1])$

Functional Analysis 2020-08-18 v1

Abstract

We prove a theorem, which generalises C. Franchetti's estimate for the norm of a projection onto a rich subspace of Lp([0,1])L^p([0, 1]) and the authors' related estimate for compact operators on Lp([0,1])L^p([0, 1]), 1p<1 \le p < \infty.

Keywords

Cite

@article{arxiv.2008.06927,
  title  = {An estimate for narrow operators on $L^p([0, 1])$},
  author = {Eugene Shargorodsky and Teo Sharia},
  journal= {arXiv preprint arXiv:2008.06927},
  year   = {2020}
}
R2 v1 2026-06-23T17:53:20.162Z