Riesz-Kantorovich formulas for operators on multi-wedged spaces
Functional Analysis
2016-09-20 v1
Abstract
We introduce the notions of multi-suprema and multi-infima for vector spaces equipped with a collection of wedges, generalizing the notions of suprema and infima in ordered vector spaces. Multi-lattices are vector spaces closed under multi-suprema and multi-infima and are thus an abstraction of vector lattices. The Riesz decomposition property in the multi-wedged setting is also introduced, leading to Riesz-Kantorovich formulas for multi-suprema and multi-infima in certain spaces of operators.
Keywords
Cite
@article{arxiv.1609.05833,
title = {Riesz-Kantorovich formulas for operators on multi-wedged spaces},
author = {Christopher Schwanke and Marten Wortel},
journal= {arXiv preprint arXiv:1609.05833},
year = {2016}
}