An Open Mapping Theorem for Order-Preserving Operators
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Authors: LJ. D. R. KOčINAC, F. S. AKTAMOV AND A. A. ZAITOV
DOI: 10.46793/KgJMat2307.1057K
Abstract:
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.
Keywords:
Ordered vector space, order unit, order-preserving mapping, weakly additive operator, open mapping theorem .
References:
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