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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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The local resolvent set of a locally Lipschitzian transformation is open
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by E. Lee May PDF
Proc. Amer. Math. Soc. 55 (1976), 329-333 Request permission

Abstract:

The purpose of this paper is to prove that if $p$ is a point of a complex Banach space $H$ at which the nonlinear transformation $T$ on $H$ is locally Lipschitzian, then the local resolvent set of $T$ at $p$ is open.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 55 (1976), 329-333
  • MSC: Primary 47H99
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0410500-2
  • MathSciNet review: 0410500