Description

• Title:
  On the degree for oriented quasi-Fredholm maps: its uniqueness and its effective extension of the Leray-Schauder degree
• Creator:
  Benevieri, Pierluigi;
  Calamai, Alessandro;
  Furi, Massimo
• Description:
  In a previous paper, the first and third author developed a~degree theory for oriented locally compact perturbations of $C\sp{1}$ Fredholm maps of index zero between real Banach spaces. In the spirit of a celebrated Amann--Weiss paper, we prove that this degree is unique if it is assumed to satisfy three axioms: Normalization, Additivity and Homotopy invariance. Taking into account that any compact vector field has a canonical orientation, from our uniqueness result we shall deduce that the above degree provides an effective extension of the Leray--Schauder degree.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 1 (September 2015); 401 - 430;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.052/7216
• Subject:
  Topological degree;
  nonlinear Fredholm maps;
  Banach spaces;
  compact maps;
  47H11;
  47A53;
  47H14
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.052
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other