An Open Mapping Theorem for Order-Preserving Operators

An Open Mapping Theorem for Order-Preserving Operators

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.

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Veröffentlicht in:Kragujevac Journal of Mathematics 2023, Vol.47 (7), p.1057-1063
Hauptverfasser: KOČINAC, LJUBIŠA D. R., AKTAMOV, FERUZ S., ZAITOV, ADILBEK A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1450-9628
2406-3045
DOI:10.46793/KgJMat2307.1057K