English

Remarks on $p$-monotone operators

Optimization and Control 2019-08-26 v2 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1712.10119,
  title  = {Remarks on $p$-monotone operators},
  author = {Orestes Bueno and John Cotrina},
  journal= {arXiv preprint arXiv:1712.10119},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-22T23:31:55.170Z