Structure theory for maximally monotone operators with points of continuity

Details Structure theory for maximally monotone operators with points of continuity Structure theory for maximally monotone operators with points of continuity

2012-03-06

arxiv.org/abs/1203.1101v1

Mathematics

Functional Analysis

25 pages

Scientific paper

In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of the norm-to-weak$^{*}$ closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.

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