Valuations on Banach lattices
arXiv:1711.11558
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.
24 pages