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Proceedings of the American Mathematical Society

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



Perturbations localement Lipschitziennes et continues d'opérateurs $ m$-accrétifs

Author: Michel Pierre
Journal: Proc. Amer. Math. Soc. 58 (1976), 124-128
MSC: Primary 47H05
MathSciNet review: 0417863
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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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Keywords: Opérateurs $ m$-accrétifs, perturbations, solutions intégrales, semi-groupe
Article copyright: © Copyright 1976 American Mathematical Society