Polynomial Valuations on Vector Lattices
Functional Analysis
2019-11-05 v2
Abstract
We prove that polynomial valuations on vector lattices correspond to orthosymmetric multilinear maps. As a consequence we obtain a concise proof of the equivalence of orthosymmetry and orthogonal additivity.
Cite
@article{arxiv.1910.14624,
title = {Polynomial Valuations on Vector Lattices},
author = {Gerard Buskes and Stephan Roberts},
journal= {arXiv preprint arXiv:1910.14624},
year = {2019}
}