We first derive a certain version of the Farkas lemma called the 0-1 Farkas lemma (the 0-1 FL). We then show that the 0-1 FL is equivalent to a measure-extension theorem. By applying one implication of this result, we prove that the 0-1 FL implies the classical Horn–Tarski measure-extension theorem.
On the Farkas lemma and the Horn–Tarski measure-extension theorem / De Simone, Anna; Pták, Pavel. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 481:(2015), pp. 243-248. [10.1016/j.laa.2015.05.002]
On the Farkas lemma and the Horn–Tarski measure-extension theorem
De Simone, Anna
;
2015
Abstract
We first derive a certain version of the Farkas lemma called the 0-1 Farkas lemma (the 0-1 FL). We then show that the 0-1 FL is equivalent to a measure-extension theorem. By applying one implication of this result, we prove that the 0-1 FL implies the classical Horn–Tarski measure-extension theorem.File in questo prodotto:
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