Characterizations of ultramaximally monotone operators

2014/01/29 by Yao, Liangjin
#47B65 #90C25 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47H05 #Secondary 47N10

paper · doi:10.48550/arxiv.1401.7428

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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