Infinite products of resolvents of accretive operators
Keywords
Accretive operator, generic property, infinite product, uniform spaceAbstract
We study the space $\mathcal M_m$ of all $m$-accretive operators on a Banach space $X$ endowed with an appropriate complete metrizable uniformity and the space $\overline{\mathcal M}{}^*_m$ which is the closure in $\mathcal M_m$ of all those operators which have a zero. We show that for a generic operator in $\mathcal M_m$ all infinite products of its resolvents become eventually close to each other and that a generic operator in $\overline{\mathcal M}{}_m^*$ has a unique zero and all the infinite products of its resolvents converge uniformly on bounded subsets of $X$ to this zero.Downloads
Published
2000-03-01
How to Cite
1.
REICH, Simeon and ZASLAVSKI, Alexander J. Infinite products of resolvents of accretive operators. Topological Methods in Nonlinear Analysis. Online. 1 March 2000. Vol. 15, no. 1, pp. 153 - 168. [Accessed 26 September 2024].
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