Description

• Title:
  Carathéodory convex selections of set-valued functions in Banach lattices
• Creator:
  Motyl, Jerzy
• Description:
  Let $T$ be a measurable space, $X$ a Banach space while $Y$ a Banach lattice. We consider the class of ``upper separated'' set-valued functions $F\colon T\times X \rightarrow 2^{Y}$ and investigate the problem of the existence of Carathéodory type selection, that is, measurable in the first variable and order-convex in the second variable.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 43, No 1 (March 2014); 1 - 10;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.001/8115
• Subject:
  Banach lattice;
  upper separated multifunction;
  Carathéodory selection;
  convex selection;
  22B15;
  28B20;
  54C65
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other