- 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
- Full Text
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