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On a Lemma by Brézis and Haraux

Published 20 Jan 2025 in math.OC and math.FA | (2501.11662v3)

Abstract: We propose several applications of an often overlooked part of the 1976 paper by Br\'ezis and Haraux, in which the Br\'ezis--Haraux theorem was established. Our results unify and extend various existing ones on the range of a linearly composite monotone operator and provide new insight into their seminal paper.

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