Schwanke, ChristopherWortel, Marten2019-03-252019-03-252018Schwanke, C. & Wortel, M. 2018. Riesz-Kantorovich formulas for operators on multi-wedged spaces. Positivity, 22(2): 461-476. [https://doi.org/10.1007/s11117-017-0521-x]1385-12921572-9281 (Online)http://hdl.handle.net/10394/32019https://link.springer.com/article/10.1007/s11117-017-0521-xhttps://doi.org/10.1007/s11117-017-0521-xWe 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 operatorsenMulti-wedged spacesMulti-latticesRiesz-Kantorovich formulasArticle