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arXiv · 1712.10119

Remarks on $p$-monotone operators

Orestes Bueno·John Cotrina
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Abstract

In this paper, we deal with three aspects of $p$-monotone operators. First we study $p$-monotone operators with a unique maximal extension (called pre-maximal), and with convex graph. We then deal with linear operators, and provide characterizations of $p$-monotonicity and maximal $p$-monotonicity. Finally we show that the Brezis-Browder theorem preserves $p$-monotonicity in reflexive Banach spaces.

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Orestes Bueno, John Cotrina. 2017-12-29. Remarks on $p$-monotone operators. https://doi.org/10.1080/02331934.2019.1636049

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