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Sandwich Theorems for Semicontinuous Operators

Published online by Cambridge University Press:  20 November 2018

J. M. Borwein  and
M. Théra
J. M. Borwein
Affiliation:
Department of Mathematics, Statistics and Computing Science Dalhousie University Halifax, Nova Scotia B3H 3J5
M. Théra
Affiliation:
Département de Mathématiques Université de Limoges Limoges 87060, France
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Abstract

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We provide vector analogues of the classical interpolation theorems for lower semicontinuous functions due to Dowker and to Hahn and Katetov-Tong.

Résumé

Résumé

Le but de cet article est de montrer que sous certaines conditions, les théorèmes d'interposition de Dowker, Hahn et Katetov-Tong ont des analogues pour des applications à valeurs vectorielles et semi-continues inférieurement.

Keywords

54C0854C6054C6554F05Sandwich theoremsinterpolation theoremsselection theoremssemicontinuous operatorvector latticelattice-like
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 4 , 01 December 1992 , pp. 463 - 474
Copyright
Copyright © Canadian Mathematical Society 1992

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