Remarks on $p$-monotone operators

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.

15 pages

References in corpus (3)

• Monotone Linear Relations: Maximality and Fitzpatrick Functions
• Maximal monotone operators with a unique extension to the bidual
• The Pseudomonotone Polar for Multivalued Operators

Cited by in corpus (1)

• On the construction of maximal $p$-cyclically monotone operators