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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Gossez’s skew linear map and its pathological maximally monotone multifunctions
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by Stephen Simons PDF
Proc. Amer. Math. Soc. 147 (2019), 4355-4361 Request permission

Abstract:

In this note, we give a generalization of Gossez’s example of a maximally monotone multifunction such that the closure of its range is not convex, using more elementary techniques than in Gossez’s original papers. We also discuss some new properties of Gossez’s skew linear operator and its adjoint.
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Additional Information
  • Stephen Simons
  • Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106-3080
  • MR Author ID: 189831
  • Email: stesim38@gmail.com
  • Received by editor(s): December 18, 2018
  • Received by editor(s) in revised form: January 14, 2019
  • Published electronically: April 18, 2019
  • Communicated by: Stephen Dilworth
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4355-4361
  • MSC (2010): Primary 47H05; Secondary 47N10, 46A20, 46A22
  • DOI: https://doi.org/10.1090/proc/14547
  • MathSciNet review: 4002547