Polar decomposition of order bounded disjointness preserving operators-Reference-Cited by-同舟云学术

Polar decomposition of order bounded disjointness preserving operators

Published:2003-08-21 Issue:3 Volume:132 Page:799-806
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Boulabiar Karim,Buskes Gerard

Abstract

We constructively prove (i.e., in ZF set theory) a decomposition theorem for certain order bounded disjointness preserving operators between any two Riesz spaces, real or complex, in terms of the absolute value of another order bounded disjointness preserving operator. In this way, we constructively generalize results by Abramovich, Arensen and Kitover (1992), Grobler and Huijsmans (1997), Hart (1985), Kutateladze, and Meyer-Nieberg (1991).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-03/S0002-9939-03-07007-2/S0002-9939-03-07007-2.pdf

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