Description

• Title:
  Lipschitz retractions onto sphere vs spherical cup in a Hilbert space
• Creator:
  Chaoha, Phichet;
  Intrakul, Jumpot;
  Wichiramala, Wacharin
• Description:
  We prove that, in every infinite dimensional Hilbert space, there exists $t_0> -1$ such that the smallest Lipscthiz constant of retractions from the unit ball onto its boundary is the same as the smallest Lipschitz constant of retractions from the unit ball onto its $t$-spherical cup for all $t\in[-1,t_0]$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.11.24
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 2 (December 2018); 677 - 691;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.034/16090 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.034/16091
• Subject:
  Lipschitz retraction;
  optimal retraction;
  spherical cup;
  Primary;
  47H09
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.034
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other