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arXiv · 1609.05833

Riesz-Kantorovich formulas for operators on multi-wedged spaces

Christopher Schwanke·Marten Wortel
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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.

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Christopher Schwanke, Marten Wortel. 2016-09-19. Riesz-Kantorovich formulas for operators on multi-wedged spaces. https://arxiv.org/abs/1609.05833

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