SIGMAOPT SEMINAR Speaker: Liangjin Yao, CARMA, The University of Newcastle Title: For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle Access Grid Venue: UniSA Time and Date: 3:00 pm, Tue, 16th Aug 2011 Abstract: It is shown that, for maximally monotone linear relations defined on a general Banach space, the monotonicities of dense type, of negative-infimum type, and of Fitzpatrick-Phelps type are the same and equivalent to monotonicity of the adjoint. This result also provides affirmative answers to two problems: one posed by Phelps and Simons, and the other by Simons. [Permanent link]