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.
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container_end_page 1063
container_issue 7
container_start_page 1057
container_title Kragujevac Journal of Mathematics
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creator KOČINAC, LJUBIŠA D. R.
AKTAMOV, FERUZ S.
ZAITOV, ADILBEK A.
description 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_str_mv 10.46793/KgJMat2307.1057K
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title An Open Mapping Theorem for Order-Preserving Operators
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