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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Maximality of sums of two maximal monotone operators in general Banach space


Author: Jonathan M. Borwein
Journal: Proc. Amer. Math. Soc. 135 (2007), 3917-3924
MSC (2000): Primary 47H05, 46N10, 46A22
Published electronically: September 12, 2007
MathSciNet review: 2341941
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Abstract: We combine methods from convex analysis, based on a function of Simon Fitzpatrick, with a fine recent idea due to Voisei, to prove maximality of the sum of two maximal monotone operators in Banach space under various natural domain and transversality conditions.


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Additional Information

Jonathan M. Borwein
Affiliation: Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada
Email: jborwein@cs.dal.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08960-5
PII: S 0002-9939(07)08960-5
Keywords: Maximal monotone operators, convex analysis, Fitzpatrick function, Fenchel duality, sum theorem
Received by editor(s): May 3, 2006
Received by editor(s) in revised form: May 10, 2006, and September 27, 2006
Published electronically: September 12, 2007
Additional Notes: This author’s research was supported by NSERC and by the Canada Research Chair Program.
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.