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arXiv · 1401.7428

Characterizations of ultramaximally monotone operators

Liangjin Yao
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Abstract

In this paper, we study properties of ultramaximally monotone operators. We characterize the interior and the closure of the range of an ultramaximally monotone operator. We establish the Brezis--Haraux condition in the setting of a general Banach space. Moreover, we show that every ultramaximally monotone operator is of type (NA). We also provide some sufficient conditions for a Banach space to be reflexive by a linear continuous and ultramaximally monotone operator.

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Liangjin Yao. 2014-01-29. Characterizations of ultramaximally monotone operators. https://arxiv.org/abs/1401.7428

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