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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Maximality of sums of two maximal monotone operators in general Banach space
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by Jonathan M. Borwein, FRSC PDF
Proc. Amer. Math. Soc. 135 (2007), 3917-3924 Request permission

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.
References
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Additional Information
  • Jonathan M. Borwein, FRSC
  • Affiliation: Faculty of Computer Science, Dalhousie University, Halifax, Nova Scotia, Canada
  • Email: jborwein@cs.dal.ca
  • 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
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 3917-3924
  • MSC (2000): Primary 47H05, 46N10, 46A22
  • DOI: https://doi.org/10.1090/S0002-9939-07-08960-5
  • MathSciNet review: 2341941