TY - JOUR AU - Reich, Simeon AU - Zaslavski, Alexander J. PY - 2000/03/01 Y2 - 2024/03/29 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 -