This is an announcement for the paper "The Br'ezis-Browder Theorem in a general Banach space" by Heinz H. Bauschke, Jonathan M. Borwein, Xianfu Wang, and Liangjin Yao.

Abstract: During the 1970s Br'ezis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces. In this paper, we extend and refine their result to a general Banach space.

Archive classification: math.FA math.OC

Mathematics Subject Classification: Primary 47A06, 47H05, Secondary 47B65, 47N10, 90C25

Remarks: 23 pages

Submitted from: liangjinyao@gmail.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1110.5706

or

http://arXiv.org/abs/1110.5706