Abstract
In the classical Hahn-Banach-Kantorovich theorem, the range space $Y$ is Dedekind complete. In this paper, by extending the arguments of the original Hahn-Banach-Kantorovich theorem and using an idea of Y. A. Abramovich and A. W. Wickstead, we can weaken the order theoretic assumption on $Y$\ and obtain more general results in the settings of Banach lattices as well as ordered linear spaces.
Citation
Rodica-Mihaela D¸anet¸. Ngai-Ching Wong. "HAHN-BANACH-KANTOROVICH TYPE THEOREMS WITH THE RANGE SPACE NOT NECESSARILY (O)-COMPLETE." Taiwanese J. Math. 6 (2) 241 - 246, 2002. https://doi.org/10.11650/twjm/1500407432
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