Proceedings of the American Mathematical Society

Author(s): Jonathan M. Borwein
Journal: Proc. Amer. Math. Soc. 134 (2006), 2951-2955.
MSC (2000): Primary 47H05, 46N10, 46A22
Posted: May 1, 2006
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Abstract: We use methods from convex analysis, relying on an ingenious function of Simon Fitzpatrick, to prove maximality of the sum of two maximal monotone operators on reflexive Banach space under weak transversality conditions.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47H05, 46N10, 46A22

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

DOI: 10.1090/S0002-9939-06-08323-7
PII: S 0002-9939(06)08323-7
Keywords: Monotone operators, convex analysis, Sandwich theorem, Fenchel duality, sum theorem
Received by editor(s): January 22, 2005
Received by editor(s) in revised form: April 27, 2005
Posted: May 1, 2006
Additional Notes: This research was supported by NSERC and by the Canada Research Chair Program.
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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