An Open Mapping Theorem for Order-Preserving Operators

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DOI: 10.46793/KgJMat2307.1057K


In the main result of this paper we prove a version of the well-known open mapping theorem for weakly additive, order-preserving operators between ordered real vector spaces with an order unit. We also provide a few examples to illustrate obtained results.


Ordered vector space, order unit, order-preserving mapping, weakly additive operator, open mapping theorem .


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