Valuations on Banach lattices
Functional Analysis
2017-12-01 v1 Metric Geometry
Abstract
We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including , Orlicz spaces and spaces of continuous functions on a compact Hausdorff space. In particular, we study decomposition properties, boundedness and integral representation of continuous valuations.
Cite
@article{arxiv.1711.11558,
title = {Valuations on Banach lattices},
author = {Pedro Tradacete and Ignacio Villanueva},
journal= {arXiv preprint arXiv:1711.11558},
year = {2017}
}
Comments
24 pages