Description

• Title:
  Infinite products of resolvents of accretive operators
• Creator:
  Reich, Simeon;
  Zaslavski, Alexander J.
• Description:
  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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 15, No 1 (March 2000); 153 - 168;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.012/10005
• Subject:
  Accretive operator;
  generic property;
  infinite product;
  uniform space;
  47H06;
  47H17;
  54C60;
  58F99
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.012
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other