Complex-valued valuations on Lp spaces
Metric Geometry
2020-06-12 v1
Abstract
All continuous translation invariant complex-valued valuations on Lebesgue measurable functions are completely classified. And all continuous rotation invariant complex-valued valuations on spherical Lebesgue measurable functions are also completely classified.
Cite
@article{arxiv.2006.06279,
title = {Complex-valued valuations on Lp spaces},
author = {Lijuan Liu},
journal= {arXiv preprint arXiv:2006.06279},
year = {2020}
}
Comments
13 pages