Multiplication operators on L^p
Functional Analysis
2017-07-18 v1
Abstract
We show that every operator on , defined by multiplication by the identity function on is a compact perturbation of an operator that is diagonal with respect to an unconditional basis. We also classify these operators up to similarity modulo compact operators and up to approximate similarity.
Cite
@article{arxiv.1707.04798,
title = {Multiplication operators on L^p},
author = {March Boedihardjo},
journal= {arXiv preprint arXiv:1707.04798},
year = {2017}
}