Description

• Title:
  Natural topologies on Colombeau algebras
• Creator:
  Aragona, Jorge;
  Fernandez, Roseli;
  Juriaans, Stanley O.
• Description:
  We define intrinsic, natural and metrizable topologies ${\mathcal T}_{\Omega}$, ${\mathcal T}$, ${\mathcal T}_{s,\Omega}$ and ${\mathcal T}_s$ in ${\mathcal G}(\Omega)$, $\OK$, ${\mathcal G}_s(\Omega)$ and $\OK_s$, respectively. The topology ${\mathcal T}_{\Omega}$ induces ${\mathcal T}$, ${\mathcal T}_{s,\Omega}$ and ${\mathcal T}_s$. The topologies ${\mathcal T}_{s,\Omega}$ and ${\mathcal T}_s$ coincide with the Scarpalezos sharp topologies.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 34, No 1 (September 2009); 161 - 180;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.035/8643
• Subject:
  Colombeau algebra;
  generalized function;
  sharp topologies;
  Primary 46F30;
  Secondary 46T20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.035
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other