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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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Perturbations localement Lipschitziennes et continues d’opérateurs $m$-accrétifs
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by Michel Pierre PDF
Proc. Amer. Math. Soc. 58 (1976), 124-128 Request permission

Abstract:

We show that, in any Banach space, the sum of an $m$-accretive operator and of a continuous accretive operator is $m$-accretive; that achieves a slight generalization of such theorems which are already known, but the method used here is very different and also comes to a new result about (nonnecessarily accretive) locally Lipschitz continuous perturbations of $m$-accretive operators. The case when the perturbation depends on time is also considered.
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 58 (1976), 124-128
  • MSC: Primary 47H05
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0417863-2
  • MathSciNet review: 0417863