English

The essential norm of multiplication operators on $L_p(\mu)$

Functional Analysis 2022-03-25 v1

Abstract

We show that the formula for the essential norm of a multiplication operator on LpL_p, for 1<p<1<p<\infty, also holds for p=1p=1. We also provide a proof for the formula which works simultaneously for all p[1,)p\in[1,\infty).

Keywords

Cite

@article{arxiv.2203.13096,
  title  = {The essential norm of multiplication operators on $L_p(\mu)$},
  author = {Jürgen Voigt},
  journal= {arXiv preprint arXiv:2203.13096},
  year   = {2022}
}