Infinite products of resolvents of accretive operators
Słowa kluczowe
Accretive operator, generic property, infinite product, uniform spaceAbstrakt
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.Pobrania
Opublikowane
2000-03-01
Jak cytować
1.
REICH, Simeon & ZASLAVSKI, Alexander J. Infinite products of resolvents of accretive operators. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2000, T. 15, nr 1, s. 153–168. [udostępniono 22.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0