Modulus support functionals, Rajchman measures and peak functions
Functional Analysis
2020-08-04 v1 Classical Analysis and ODEs
Abstract
In 2000 V. Lomonosov suggested a counterexample to the complex version of the Bishop-Phelps theorem on modulus support functionals. We discuss the -analog of that example and demonstrate that the set of sup-attaining functionals is non-trivial, thus answering an open question, asked in \cite{KLMW}.
Cite
@article{arxiv.2008.00845,
title = {Modulus support functionals, Rajchman measures and peak functions},
author = {L. Golinskii and V. Kadets},
journal= {arXiv preprint arXiv:2008.00845},
year = {2020}
}
Comments
11 pages in LaTeX