TY - JOUR
AU - Reich, Simeon
AU - Zaslavski, Alexander J.
PY - 2000/03/01
Y2 - 2024/04/15
TI - Infinite products of resolvents of accretive operators
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 15
IS - 1
SE -
DO -
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2000.012
SP - 153 - 168
AB - We study the space $\mathcal M_m$ of all $m$-accretive operators on a Banach space $X$endowed with an appropriate complete metrizable uniformity andthe 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 resolventsbecome eventually close to each other and that a generic operator in $\overline{\mathcal M}{}_m^*$ hasa unique zero and all the infinite products of its resolvents convergeuniformly on bounded subsets of $X$ to this zero.
ER -