The Brézis-Browder Theorem revisited and properties of Fitzpatrick functions of order n
نویسنده
چکیده
In this note, we study maximal monotonicity of linear relations (set-valued operators with linear graphs) on reflexive Banach spaces. We provide a new and simpler proof of a result due to BrézisBrowder which states that a monotone linear relation with closed graph is maximal monotone if and only if its adjoint is monotone. We also study Fitzpatrick functions and give an explicit formula for Fitzpatrick functions of order n for monotone symmetric linear relations. 2000 Mathematics Subject Classification: Primary 47A06, 47H05; Secondary 47A05, 47B65, 52A41, 90C25
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