A Lebesgue-type decomposition for non-positive sesquilinear forms
Functional Analysis
2023-10-31 v1
Abstract
A Lebesgue-type decomposition of a (non necessarily non-negative) sesquilinear form with respect to a non-negative one is studied. This decomposition consists of a sum of three parts: two are dominated by an absolutely continuous form and a singular non-negative one, respectively, and the latter is majorized by the product of an absolutely continuous and a singular non-negative forms. The Lebesgue decomposition of a complex measure is given as application.
Keywords
Cite
@article{arxiv.1803.02772,
title = {A Lebesgue-type decomposition for non-positive sesquilinear forms},
author = {Rosario Corso},
journal= {arXiv preprint arXiv:1803.02772},
year = {2023}
}
Comments
18 pages