An Open Mapping Theorem for Order-Preserving Operators
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 7, p. 1057 .

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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.
DOI : 10.46793/KgJMat2307.1057K
Classification : 46A40, 06F20, 46B40, 47B60, 54C10
Keywords: Ordered vector space, order unit, order-preserving mapping, weakly additive operator, open mapping theorem
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Ljubiša D. R. Kočinac; Feruz S. Aktamov; Adilbek A. Zaitov. An Open Mapping Theorem for Order-Preserving Operators. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 7, p. 1057 . doi : 10.46793/KgJMat2307.1057K. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2307.1057K/

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