The Brezis–Browder Theorem in a general Banach space

Title: The Brezis–Browder Theorem in a general Banach space
Creator: Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin
Relation: Journal of Functional Analysis Vol. 262, Issue 12, p. 4948-4971
Publisher Link: http://dx.doi.org/10.1016/j.jfa.2012.03.023
Publisher: Elsevier
Resource Type: journal article
Date: 2012
Description: During the 1970s Brezis 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. We also provide an affirmative answer to a problem posed by Phelps and Simons.
Subject: adjoint; Brezis–Browder Theorem; linear relation; monotone operator; operator of type (D); operator of type (FP); operator of type (NI); set-valued operator; skew operator; symmetric operator
Identifier: http://hdl.handle.net/1959.13/939958
Identifier: uon:12912
Identifier: ISSN:0022-1236
Language: eng
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