THE INTEGRAL COMPONENT OF AN ORDER BOUNDED TRANSFORMATION

Original Articles

THE INTEGRAL COMPONENT OF AN ORDER BOUNDED TRANSFORMATION

Published in: Quaestiones Mathematicae
Volume 1 , issue 2 , 1976 , pages: 135–144
DOI: 10.1080/16073606.1976.9632520
Author(s): Peter van Eldik Department of Mathematics, SOUTH AFRICA

Abstract

Assume that T:L→M is a positive transformation from an arbitrary Riesz space L into a Dedekind complete Riesz space M, and let T=Tc + Ts be the decomposition of T into its integral component Tc and its singular component Ts.

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