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Maharam extensions of positive operators and f-modules

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Abstract

The principal result of this paper is the construction of simultaneous extensions of collections of positive linear operators between vector lattices to interval preserving operators (i.e., Maharam operators). This construction is based on some properties of so-called f-modules. The properties and structure of these extension spaces is discussed in some detail.

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Authors
  1. W.A.J. Luxemburg
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  2. B. de Pagter
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Luxemburg, W., de Pagter, B. Maharam extensions of positive operators and f-modules. Positivity 6, 147–190 (2002). https://doi.org/10.1023/A:1015249114403

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