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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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A connectedness property of maximal monotone operators and its application to approximation theory
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by Libor Veselý PDF
Proc. Amer. Math. Soc. 115 (1992), 663-667 Request permission

Abstract:

We prove a connectedness property of a general maximal monotone operator on a Hilbert space. As a consequence we easily obtain the characterization of components of the set of discontinuity points for metric projections of closed sets in Hilbert spaces. We show that these components are pathwise connected, too.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 115 (1992), 663-667
  • MSC: Primary 47H05; Secondary 41A65
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1095227-8
  • MathSciNet review: 1095227