Zeroes of accretive operators and the asymptotic behavior of nonlinear semigroups

• Autores: Jesús García Falset, Simeon Reich
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 32, Nº 4, 2006, págs. 1197-1225
• Idioma: inglés
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• Resumen

  • 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.