Riesz-Kantorovich formulas for operators on multi-wedged spaces
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 that are 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
URI
http://hdl.handle.net/10394/32019https://link.springer.com/article/10.1007/s11117-017-0521-x
https://doi.org/10.1007/s11117-017-0521-x