Some Relations between Nonexpansive and Order Preserving Mappings.

Abstract

It is shown that nonlinear operators which preserve the integral are order preserving if and only if they are nonexpansive in L(1) and that those wich commute with translation by a constant are order preserving if and only if they are nonexpansive in L(infinity). Examples are presented and involving partial differential equations, difference approximations and rearrangements. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1979
Accession Number
ADA070202

Entities

People

  • Luc Tartar
  • Michael G. Crandall

Organizations

  • University of Wisconsin–Madison

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  • Mathematics

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