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Resumen de Zeroes of accretive operators and the asymptotic behavior of nonlinear semigroups

Jesús García Falset Árbol académico, Simeon Reich Árbol académico

  • We study necessary and sufficient conditions for an accretive operator which satisfies the range condition to have a zero. We obtain, in particular, a characterization of this property for m-accretive operators in L1. We also study the asymptotic behavior of nonexpansive semigroups in L1 and then apply our results to certain initial value problems.

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